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September 15, 2005
O P - S F N E T Volume 12, Number 5
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Editor:
Martin Muldoon muldoon@yorku.ca
The Electronic News Net of the SIAM Activity Group
on Orthogonal Polynomials and Special Functions
Please send contributions to: poly@siam.org
Subscribe by mailing to: poly-request@siam.org
or to: listproc@nist.gov
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Today's Topics:
1. Message from the Chair
2. Special Session at Annandale-on-Hudson, NY
3. Report from Santander meeting
4. Calls for Nominations - SIAM Prizes and Awards
5. Preprints in arXiv.org
6. About the Activity Group
7. Submitting contributions to OP-SF NET
Calendar of Events:
2005
October 8-9: American Mathematical Society Eastern Section Meeting
including Special Session on Special Functions and Orthogonal
Polynomials: Theory and Applications, Bard College,
Annandale-on-Hudson, New York, USA
http://www.ams.org/amsmtgs/2120_program.html
2006
March 27-31: Spectral Theory and Mathematical Physics,
A Conference in Honor of Barry Simon's 60th Birthday,
Pasadena, California, USA 12.2, #2
http://www.math.caltech.edu/simonfest.html
May 6-11: International Conference on Fourier and Complex Analysis:
Classical Problems - Current View, Protaras, Cyprus 12.4, #1
July 10-14: SIAM Annual Meeting, Boston, Massachusetts, USA
http://www.siam.org/meetings/an06/index.php
July 10-14: Symmetries and Integrability of Difference Equations 7,
Melbourne, Australia
http://www.physics.utu.fi/theory/SIDE/
August 22-30
International Congress of Mathematicians, Madrid, Spain
http://www.icm2006.org/
September 4-29: Short programme "The Painleve Equations and Monodromy
Problems", Newton Institute. Cambridge, UK
http://www.newton.cam.ac.uk/programmes/PEM/index.html 12.3, #2
(Note correction of date from earlier versions of this Calendar)
September (exact date to be announced): AMADE 2006, Minsk, Belarus
http://www.amade-bsu.com/ 12.3 #3
2007
July (dates to be announced): OPSFA - Orthogonal Polynomials, Special
Functions and their Applications, Marseille, France
Topic #1 ---------- OP-SF NET 12.5 ----------- September 15, 2005
~~~~~~~~~~~~~~
From: Peter A. Clarkson
Subject: Message from the Chair
Welcome to the lastest OPSF newsletter.
One of the major conferences in our field this summer was the
"International Conference on Difference Equations, Special Functions and
Applications", which was a joint meeting involving OPSFA, ICDEA and SIDE,
held in Munich in late July. Some reports on the meeting should appear
in the next newsletter. I would be grateful to hear comments about this
meeting, in particular from those of you attended the meeting; please
email them to me (P.A.Clarkson@kent.ac.uk). Would you like to see more
of these joint meetings in the future? Any suggestions about changes in
the format of such a meeting would also be welcome. For your
information, the next OPSFA meeting is due to be held in July 2007 in
Marseille, France; the next SIDE meeting is due to be held in July 2006
in Melbourne, Australia.
I look forward to hearing from you.
Topic 2 ---------- OP-SF NET 12.5 ----------- September 15, 2005
~~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Special Session at Annandale-on-Hudson, NY
The American Mathematical Society Eastern Section Meeting on October
8-9, 2005 (Saturday-Sunday) at Bard College, Annandale-on-Hudson, NY,
will include a Special Session on "Special Functions and Orthogonal
Polynomials: Theory and Applications" organized by Diego Dominici, SUNY
at New Paltz. Here is the schedule of talks taken from
http://www.ams.org/amsmtgs/2120_program_ss7.html#title
Saturday
9:00 David Terhune, Pennsylvania State University,
A Weight-Depth Theorem for a Class of Multiple L-values.
9:30 Alexander Rozenblyum, New York City College of Technology,
q-orthogonal polynomials related to representations of the quantum
group U_q(so(4)).
10:00 George E. Andrews, Pennsylvania State University,
Carlitz and the General 3-Phi-2
10:30 Paul M Terwilliger, University of Wisconsin, Madison,
Tridiagonal pairs of q-geometric type
2:30 Lawrence A Fialkow, SUNY New Paltz,
Can a minimal degree 6 cubature rule for the disk have all points inside?
3:00 Carl F. Lorenzo, NASA Glenn Research Center,
An Overview of the Fractional Exponential and Trigonometric Functions
3:30 Martin E Muldoon, York University,
Continuous ranking of zeros of special functions
4:00 Daniel W. Lozier, National Institute of Standards and Technology,
The DLMF Project: Lessons Learned and Future Directions
4:30 Diego Dominici, SUNY New Paltz,
Nested Derivatives: A simple method for computing series expansions of
inverse functions
Sunday
9:00 Mizan Rahman, Carleton University,
Polynomials in 2 Variables: a Limit Case of the 9-j Symbols.
9:30 Ph. Feinsilver, Southern Illinois University, Carbondale,
Second quantization and recurrences
10:00 F. Alberto Grunbaum, UC Berkeley,
Matrix valued orthogonal polynomials satisfying differential equations
10:30 Gestur Olafsson, Louisiana State University in Baton Rouge,
Differential Recursion Relations for Laguerre Functions on Symmetric Cones
2:30 Percy Deift, Courant Institute, NYU,
On the Bus Problem in Cuernevaca, Mexico
3:00 Alexander Varchenko, University of North Carolina at Chapel Hill,
Multiple Orthogonal Polynomials and a Counterexample to Gaudin Bethe
Ansatz Conjecture
3:30 Audrey A. Terras, University of California at San Diego
Fourier Expansions of Complex Valued Modular Forms on Finite Upper Half
Planes
4:00 Brian W Curtin, University of South Florida,
Modular Leonard triples of Bannai-Ito type
4:30 Robert P. Boyer, Drexel University,
Asymptotic Zero Distributions for Polynomials from Combinatorics.
Topic #3 ---------- OP-SF NET 12.5 ----------- September 15, 2005
~~~~~~~~~~~~~~
From: Tom Koornwinder
Subject: Report from Santander meeting
Report on the conference "Special functions: Asymptotic Analysis and
Computation", in honor of Nico Temme's 65th Birthday, Santander, Spain,
4-6 July 2005
This was a mathematically interesting, and also a most enjoyable
conference. Nico Temme's achievements in special functions and
asymptotics are well-known: consider, for instance his many papers, his
book "Special Functions, An Introduction to the Classical Functions of
Mathematical Physics" (Wiley 1996), and his heavy involvement in the
preparation of the NIST Digital Library of Mathematical Functions. Because
Nico has reached the age of 65, he has officially retired from the CWI
(Centre for Mathematics and Computer Science) in Amsterdam, where he has
spent his whole professional life. The CWI had already organized a nice
farewell symposium "From here to infinity" and farewell party for Nico on
May 27, 2005. His Spanish collaborators and coauthors Amparo Gil and
Javier Segura (Santander) and Jose Luis Lopez (Pamplona), together with
Nico's former student Adri Olde Daalhuis (Edinburgh), had the good idea to
organize an international three-day conference in his honor in Spain. The
SIAM OPSF Activity Group acted as a co-sponsor of the conference.
The title "Special functions: Asymptotic Analysis and Computation"
reflected Nico's main interests in mathematics and
17 invited forty-minute speakers represented
Nico's major scientific contacts. Additionally, there were 13
contributed 20-minute talks and a few contributions to the poster
session. Altogether there were 56 registered participants. Let me
mention here the invited speakers, with some grouping in categories:
- Asymptotics: Kathy Driver, Wolfgang Gawronski, Carla Giordano,
Chris Howls, David Kaminski, Adri Olde Daalhuis, Richard Paris,
Roderick Wong
- Applications in physics and chemistry: Jonathan Connor, Jesus
Dehesa, Francesco Mainardi
- Other topics:
- DLMF project: Dan Lozier
- q- and multivariable special functions: Tom Koornwinder
- orthogonal polynomials: Paco Marcellan
- Painleve equations: Peter Clarkson
- Riemann-Hilbert problems: Arno Kuijlaars
- Connection problems: Javier Sesma
Asymptotics in connection with special functions was evidently an
important focus of this conference. The state of the art could be heard
from leading researchers in this area. Dan Lozier had good news about
the DLMF project. It is approaching completion. Dan carried a draft of
all chapters with him for inspection by anyone interested.
The location of the conference was splendid. The lecture were held in a
building at Santander's beautiful waterfront with nice beaches overlooking
a small bay, and the Atlantic Ocean in the distance. But temperatures were
only around 20 C (normal on Spain's northern coast in summer), there was
some rain, and the sea was very cold: you needed a wetsuit for swimming.
The social program included a reception in Santander's city hall and an
excursion to Santillana del Mar, where we were given a guided tour of the
old church and historic houses. The conference dinner was also held here.
There were some after-dinner speeches highlighting episodes from Nico's
scientific life.
The final address at the conference was by Nico himself. He recalled
some experiences during his career and lessons learned from them. He
thanked the speakers and organizers and made it clear that his official
retirement would not mean a retirement from research and publication.
This conference was a satellite meeting of the FoCM conference which
was held in Santander during June 30 - July 9. During the first three
afternoons of this FoCM conference a workshop was held on "Special
Functions and Orthogonal Polynomials", organized by Guillermo Lopez
and Ed Saff. Also during this workshop there were many interesting
lectures. As it turned out, there was a special focus on
Riemann-Hilbert problems in connection with special functions.
[The conference web site http://www.sf05.unican.es/ contains some photos
and announces that the Proceedings will appear as a special issue of
Journal of Computational and Applied Mathematics. - Ed.]
Topic #4 ---------- OP-SF NET 12.5 ----------- September 15, 2005
~~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Calls for Nominations - SIAM Prizes and Awards
SIAM recently issued calls for nominations for several awards.
(1) SIAM Activity Group on Analysis of PDE Prize
The SIAM Activity Group on Analysis of Partial Differential Equations
(SIAG/APDE) Prize, established in 2005, is awarded to the author(s) of
the most outstanding paper, as determined by the prize committee, on a
topic in Partial Differential Equations published in English in a
peer-reviewed journal within the four calendar years preceding the year
of the award. Nominations, including bibliographic citation and a
justification, should be submitted by December 31, 2005. For further
information, see:
http://www.siam.org/prizes/nominations/nom_siagapde.php
(2) The Richard C. DiPrima Prize
The Richard C. DiPrima Prize is awarded every two years to a young
scientist, based on an outstanding doctoral dissertation in applied
mathematics. Nominations, along with a copy of the dissertation, should
be sent by October 15, 2005. For further information, see:
http://www.siam.org/prizes/nominations/nom_diprima.php
(3) The Julian Cole Lectureship
The Julian Cole Lectureship is awarded every four years to a member of
the scientific or engineering community for an outstanding contribution
to the mathematical characterization and solution of a challenging
problem in the physical or biological sciences, or in engineering, or
for the development of mathematical methods for the solution of such
problems. For further information, see:
http://www.siam.org/prizes/nominations/nom_cole.php
(4) SIAM Activity Group on Linear Algebra Prize
The SIAM Activity Group on Linear Algebra (SIAG/LA) Prize is awarded to
the author(s) of the most outstanding paper on a topic in applicable
linear algebra published in a peer-reviewed journal in the three
calendar years preceding the year of the award. Nominations, including
a copy of the nominated paper, should be sent by January 15, 2006. For
further information, see:
http://www.siam.org/prizes/nominations/nom_laprize.php
(5) W. T. and Idalia Reid Prize
The award will be given for research in, or other contributions to, the
broadly defined areas of differential equations and control theory. The
prize may be given either for a single notable achievement or for a
collection of such achievements. Committee Chair H. T. Banks wishes to
stress the breadth of the eligible fields. For further information, see
http://www.siam.org/prizes/nominations/nom_reid.php
Topic #5 ---------- OP-SF NET 12.5 ----------- September 15, 2005
~~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Preprints in arXiv.org
The following preprints related to the fields of orthogonal polynomials
and special functions were recently posted or cross-listed to one of the
subcategories of arXiv.org. See especially:
http://front.math.ucdavis.edu/math.CA
http://front.math.ucdavis.edu/math.CO
http://front.math.ucdavis.edu/math.QA
http://xxx.lanl.gov/archive/solv-int
http://arxiv.org/abs/math.CA/0507108
Title: A Direct Proof of Landen's Transformation
Authors: Mark B. Villarino
Comments: 8 pages
Subj-class: Classical Analysis and ODEs; General Mathematics
MSC-class: 33C05, 33C75
http://arxiv.org/abs/math.RT/0507111
Title: A special value of the spectral zeta function of the
non-commutative harmonic oscillators
Authors: Hiroyuki Ochiai
Comments: 5 pages, no figures
Subj-class: Representation Theory; Number Theory
MSC-class: 11M36; 33C20
http://arxiv.org/abs/math.CO/0507225
Title: q-Catalan numbers and q-Narayana polynomials
Authors: Johann Cigler
Comments: 10 pages
Subj-class: Combinatorics
MSC-class: 05A15;05A30
http://arxiv.org/abs/math.CO/0507268
Title: The Fermat cubic, elliptic functions, continued fractions, and a
combinatorial excursion
Authors: Eric van Fossen Conrad, Philippe Flajolet
Comments: 44 pages; submitted to "Seminaire Lotharingien de
Combinatoire" (journal), July 2005
Subj-class: Combinatorics; Probability
MSC-class: 05A15; 30B70; 33C75; 60C05
http://arxiv.org/abs/math.AG/0507436
Title: Hypergeometric series and Hodge cycles of four dimensional cubic
hypersurfaces
Authors: Hossein Movasati, Stefen Reiter
Comments: 18 pages
Subj-class: Algebraic Geometry; Number Theory
MSC-class: 14C30
http://arxiv.org/abs/math.NT/0507450
Title: Low lying zeros of L-functions with orthogonal symmetry
Authors: C.P. Hughes, Steven J. Miller
Comments: 31 pages
Subj-class: Number Theory; Mathematical Physics
MSC-class: 11M26 (primary), 11G05, 11G40, 11M26 (secondary)
http://arxiv.org/abs/math.CV/0507534
Title: Uniformization by Lauricella functions--an overview of the theory
of Deligne-Mostow
Authors: Eduard Looijenga
Comments: 28 pages, based on lectures given at the CIMPA summer school,
Istanbul (2005)
Subj-class: Complex Variables; Algebraic Geometry
MSC-class: 33C65; 22E40; 32G20
http://arxiv.org/abs/math.CA/0507580
Title: A family of Sobolev Orthogonal Polynomials on the Unit Ball
Authors: Yuan Xu
Subj-class: Classical Analysis and ODEs
MSC-class: 42A38, 42B08, 42B15
http://arxiv.org/abs/math.CA/0508039
Title: Discrete orthogonal polynomials and difference equations of
several variables
Authors: Plamen Iliev, Yuan Xu
Comments: 31 pages
Subj-class: Classical Analysis and ODEs
MSC-class: 42C05; 33C45
http://arxiv.org/abs/math.NT/0508042
Title: New Vacca-Type Rational Series for Euler's Constant and Its
"Alternating" Analog ln(4/Pi)
Authors: Jonathan Sondow
Comments: 6 pages, submitted for publication, presented at the XXIVth
Journe\'es Arithme\'tiques in Marseilles
Subj-class: Number Theory; Classical Analysis and ODEs
MSC-class: Primary 11Y60, Secondary 40A99
http://arxiv.org/abs/math.QA/0508058
Title: Painleve VI, Rigid Tops and Reflection Equation
Authors: A. Levin, M. Olshanetsky, A. Zotov
Comments: 32 pages
Subj-class: Quantum Algebra; Mathematical Physics; Exactly Solvable and
Integrable Systems
MSC-class: 81R50; 16W30; 70E40
http://arxiv.org/abs/math.CA/0508093
Title: The Heun equation and the Calogero-Moser-Sutherland system V:
generalized Darboux transformations
Authors: Kouichi Takemura
Comments: 24 pages
Subj-class: Classical Analysis and ODEs; Quantum Algebra; Mathematical
Physics; Exactly Solvable and Integrable Systems
MSC-class: 33E10,34M35,82B23
http://arxiv.org/abs/math.SG/0508113
Title: CMV: the unitary analogue of Jacobi matrices
Authors: R. Killip, I. Nenciu
Subj-class: Symplectic Geometry; Mathematical Physics
MSC-class: 70H06
http://arxiv.org/abs/math.CA/0508117
Title: Szego polynomials: a view from the Riemann-Hilbert window
Authors: A. Martinez-Finkelshtein
Comments: 20 pages, 6 figures
Subj-class: Classical Analysis and ODEs; Complex Variables
MSC-class: 42C05
http://arxiv.org/abs/math.CA/0508157
Title: New Exact Solutions of Differential Equations Derived by
Fractional Calculus
Authors: F. S. Felber
Comments: 4 pages, 3 figures, to be published in Applied Mathematics and
Computation
Subj-class: Classical Analysis and ODEs; Numerical Analysis
MSC-class: 34M25; 34M10; 34M05; 34M45
http://arxiv.org/abs/math.CA/0508224
Title: On Extensions of a Theorem of Baxter
Authors: J. S. Geronimo, A. Martinez-Finkelshtein
Comments: 11 pages
Subj-class: Classical Analysis and ODEs
http://arxiv.org/abs/math.CA/0508264
Title: Asymptotic analysis of the Askey-scheme II: from Charlier to
Hermite
Authors: Diego Dominici
Comments: 10 pages
Subj-class: Classical Analysis and ODEs
MSC-class: 33C45 (Primary) 34E05, 33C10 (Secondary)
http://arxiv.org/abs/math.FA/0508544
Title: Asymptotics of orthogonal polynomials beyond the scope of Szego's
theorem
Authors: F. Peherstorfer, A. Volberg, P. Yuditskii
Subj-class: Functional Analysis; Spectral Theory
MSC-class: 42B20, 42C15
http://arxiv.org/abs/math.CA/0508581
Title: Localized polynomial frames on the interval with Jacobi weights
Authors: Pencho Petrushev, Yuan Xu
Comments: J. Four. Anal. Appl. (to appear)
Subj-class: Classical Analysis and ODEs
MSC-class: 42A38, 42B08, 42B15
http://arxiv.org/abs/astro-ph/0508514
Title: Fast spin +-2 spherical harmonics transforms
Authors: Y. Wiaux (1), L. Jacques (2), P. Vandergheynst (1) ((1) Swiss
Federal Institute of Technology, Lausanne, Switzerland, (2)
Universite catholique de Louvain, Louvain-la-Neuve, Belgium)
Comments: 9 pages, 0 figure, Revtex4 (emulateapj)
Subj-class: Astrophysics; Mathematical Physics
http://arxiv.org/abs/math-ph/0508008
Title: - XSummer - Transcendental Functions and Symbolic Summation in
FORM
Authors: S. Moch, P. Uwer
Comments: 21 pages, 1 figure, Latex
Subj-class: Mathematical Physics
http://arxiv.org/abs/math-ph/0508032
Title: Spectra of observables in the q-oscillator and q-analogue of the
Fourier transform
Authors: Anatoliy Klimyk
Comments: 18 pages
Subj-class: Mathematical Physics; Spectral Theory
MSC-class: 81Q10; 81S05; 41B15
http://arxiv.org/abs/math-ph/0508062
Title: Multi-critical unitary random matrix ensembles and the general
Painleve II equation
Authors: T. Claeys, A.B.J. Kuijlaars, M. Vanlessen
Comments: 37 pages, 4 figures
Subj-class: Mathematical Physics; Complex Variables
MSC-class: 15A52; 31A25; 35Q15; 82B23
http://arxiv.org/abs/math-ph/0508066
Title: Elliptic Faulhaber polynomials and Lam\'e densities of states
Authors: M.-P. Grosset, A.P. Veselov
Comments: 22 pages, 1 figure
Subj-class: Mathematical Physics; General Mathematics
MSC-class: 11B83, 33E05
Topic #6 ---------- OP-SF NET 12.5 ----------- September 15, 2005
~~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: About the Activity Group
The SIAM Activity Group on Orthogonal Polynomials and Special Functions
consists of a broad set of mathematicians, both pure and applied. The
Group also includes engineers and scientists, students as well as
experts. We have around 140 members scattered about in more than 20
countries. Whatever your specialty might be, we welcome your
participation in this classical, and yet modern, topic. Our WWW home
page is:
http://math.nist.gov/opsf/
This is a convenient point of entry to all the services provided by the
Group. Our Webmaster is Bonita Saunders (bonita.saunders@nist.gov).
The Activity Group sponsors OP-SF NET, which is transmitted
periodically by SIAM. It is provided as a free public service;
membership in SIAM is not required. The OP-SF Net Editor is Martin
Muldoon (muldoon@yorku.ca).
To receive the OP-SF NET, send your name and email address to
poly-request@siam.org.
Back issues can be obtained at the WWW addresses:
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For several years the Activity Group sponsored a printed Newsletter,
most recently edited by Rafael Yanez. Back issues are accessible at:
http://www.mathematik.uni-kassel.de/~koepf/siam.html
Given the widespread availability of email and the Internet, the need for
the printed Newsletter has decreased. Discussions are underway concerning
whether an annual printed Newsletter or Annual Report should be
instituted.
SIAM has several categories of membership, including low-cost categories
for students and residents of developing countries. For current
information on SIAM and Activity Group membership, contact:
Society for Industrial and Applied Mathematics
3600 University City Science Center
Philadelphia, PA 19104-2688 USA
phone: +1-215-382-9800
email: service@siam.org
WWW : http://www.siam.org
http://www.siam.org/membership/outreachmem.htm
Finally, the Activity Group operates an email discussion group, called
OP-SF Talk. To subscribe, send the email message
subscribe opsftalk Your Name
to listproc@nist.gov. To contribute an item to the discussion, send
email to opsftalk@nist.gov. The archive of all messages is accessible
at:
http://math.nist.gov/opsftalk/archive
Topic #7 ---------- OP-SF NET 12.5 ----------- September 15, 2005
~~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Submitting contributions to OP-SF NET
To contribute a news item to OP-SF NET, send email to poly@siam.org
with a copy to the OP-SF Editor .
Contributions to OP-SF NET 12.6 should be sent by November 1, 2005.
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OP-SF NET is a forum of the SIAM Activity Group on
Special Functions and Orthogonal Polynomials.
We disseminate your contributions on anything of interest to the
special functions and orthogonal polynomials community. This
includes announcements of conferences, forthcoming books, new
software, electronic archives, research questions, job openings.
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Send submissions to: poly@siam.org
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Information on joining SIAM
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The elected Officers of the Activity Group (2005-2007) are:
Peter A. Clarkson, Chair
Daniel W. Lozier, Vice Chair
Javier Segura, Secretary
Peter A. McCoy, Program Director
The appointed officers are:
Martin Muldoon, OP-SF NET editor
Bonita Saunders, Webmaster
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September 15, 2005
O P - S F N E T Volume 12, Number 5
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Editor:
Martin Muldoon muldoon@yorku.ca
The Electronic News Net of the SIAM Activity Group
on Orthogonal Polynomials and Special Functions
Please send contributions to: poly@siam.org
Subscribe by mailing to: poly-request@siam.org
or to: listproc@nist.gov
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Today's Topics:
1. Message from the Chair
2. Special Session at Annandale-on-Hudson, NY
3. Report from Santander meeting
4. Calls for Nominations - SIAM Prizes and Awards
5. Preprints in arXiv.org
6. About the Activity Group
7. Submitting contributions to OP-SF NET
Calendar of Events:
2005
October 8-9: American Mathematical Society Eastern Section Meeting
including Special Session on Special Functions and Orthogonal
Polynomials: Theory and Applications, Bard College,
Annandale-on-Hudson, New York, USA
http://www.ams.org/amsmtgs/2120_program.html
2006
March 27-31: Spectral Theory and Mathematical Physics,
A Conference in Honor of Barry Simon's 60th Birthday,
Pasadena, California, USA 12.2, #2
http://www.math.caltech.edu/simonfest.html
May 6-11: International Conference on Fourier and Complex Analysis:
Classical Problems - Current View, Protaras, Cyprus 12.4, #1
July 10-14: SIAM Annual Meeting, Boston, Massachusetts, USA
http://www.siam.org/meetings/an06/index.php
July 10-14: Symmetries and Integrability of Difference Equations 7,
Melbourne, Australia
http://www.physics.utu.fi/theory/SIDE/
August 22-30
International Congress of Mathematicians, Madrid, Spain
http://www.icm2006.org/
September 4-29: Short programme "The Painleve Equations and Monodromy
Problems", Newton Institute. Cambridge, UK
http://www.newton.cam.ac.uk/programmes/PEM/index.html 12.3, #2
(Note correction of date from earlier versions of this Calendar)
September (exact date to be announced): AMADE 2006, Minsk, Belarus
http://www.amade-bsu.com/ 12.3 #3
2007
July (dates to be announced): OPSFA - Orthogonal Polynomials, Special
Functions and their Applications, Marseille, France
Topic #1 ---------- OP-SF NET 12.5 ----------- September 15, 2005
~~~~~~~~~~~~~~
From: Peter A. Clarkson
Subject: Message from the Chair
Welcome to the lastest OPSF newsletter.
One of the major conferences in our field this summer was the
"International Conference on Difference Equations, Special Functions and
Applications", which was a joint meeting involving OPSFA, ICDEA and SIDE,
held in Munich in late July. Some reports on the meeting should appear
in the next newsletter. I would be grateful to hear comments about this
meeting, in particular from those of you attended the meeting; please
email them to me (P.A.Clarkson@kent.ac.uk). Would you like to see more
of these joint meetings in the future? Any suggestions about changes in
the format of such a meeting would also be welcome. For your
information, the next OPSFA meeting is due to be held in July 2007 in
Marseille, France; the next SIDE meeting is due to be held in July 2006
in Melbourne, Australia.
I look forward to hearing from you.
Topic 2 ---------- OP-SF NET 12.5 ----------- September 15, 2005
~~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Special Session at Annandale-on-Hudson, NY
The American Mathematical Society Eastern Section Meeting on October
8-9, 2005 (Saturday-Sunday) at Bard College, Annandale-on-Hudson, NY,
will include a Special Session on "Special Functions and Orthogonal
Polynomials: Theory and Applications" organized by Diego Dominici, SUNY
at New Paltz. Here is the schedule of talks taken from
http://www.ams.org/amsmtgs/2120_program_ss7.html#title
Saturday
9:00 David Terhune, Pennsylvania State University,
A Weight-Depth Theorem for a Class of Multiple L-values.
9:30 Alexander Rozenblyum, New York City College of Technology,
q-orthogonal polynomials related to representations of the quantum
group U_q(so(4)).
10:00 George E. Andrews, Pennsylvania State University,
Carlitz and the General 3-Phi-2
10:30 Paul M Terwilliger, University of Wisconsin, Madison,
Tridiagonal pairs of q-geometric type
2:30 Lawrence A Fialkow, SUNY New Paltz,
Can a minimal degree 6 cubature rule for the disk have all points inside?
3:00 Carl F. Lorenzo, NASA Glenn Research Center,
An Overview of the Fractional Exponential and Trigonometric Functions
3:30 Martin E Muldoon, York University,
Continuous ranking of zeros of special functions
4:00 Daniel W. Lozier, National Institute of Standards and Technology,
The DLMF Project: Lessons Learned and Future Directions
4:30 Diego Dominici, SUNY New Paltz,
Nested Derivatives: A simple method for computing series expansions of
inverse functions
Sunday
9:00 Mizan Rahman, Carleton University,
Polynomials in 2 Variables: a Limit Case of the 9-j Symbols.
9:30 Ph. Feinsilver, Southern Illinois University, Carbondale,
Second quantization and recurrences
10:00 F. Alberto Grunbaum, UC Berkeley,
Matrix valued orthogonal polynomials satisfying differential equations
10:30 Gestur Olafsson, Louisiana State University in Baton Rouge,
Differential Recursion Relations for Laguerre Functions on Symmetric Cones
2:30 Percy Deift, Courant Institute, NYU,
On the Bus Problem in Cuernevaca, Mexico
3:00 Alexander Varchenko, University of North Carolina at Chapel Hill,
Multiple Orthogonal Polynomials and a Counterexample to Gaudin Bethe
Ansatz Conjecture
3:30 Audrey A. Terras, University of California at San Diego
Fourier Expansions of Complex Valued Modular Forms on Finite Upper Half
Planes
4:00 Brian W Curtin, University of South Florida,
Modular Leonard triples of Bannai-Ito type
4:30 Robert P. Boyer, Drexel University,
Asymptotic Zero Distributions for Polynomials from Combinatorics.
Topic #3 ---------- OP-SF NET 12.5 ----------- September 15, 2005
~~~~~~~~~~~~~~
From: Tom Koornwinder
Subject: Report from Santander meeting
Report on the conference "Special functions: Asymptotic Analysis and
Computation", in honor of Nico Temme's 65th Birthday, Santander, Spain,
4-6 July 2005
This was a mathematically interesting, and also a most enjoyable
conference. Nico Temme's achievements in special functions and
asymptotics are well-known: consider, for instance his many papers, his
book "Special Functions, An Introduction to the Classical Functions of
Mathematical Physics" (Wiley 1996), and his heavy involvement in the
preparation of the NIST Digital Library of Mathematical Functions. Because
Nico has reached the age of 65, he has officially retired from the CWI
(Centre for Mathematics and Computer Science) in Amsterdam, where he has
spent his whole professional life. The CWI had already organized a nice
farewell symposium "From here to infinity" and farewell party for Nico on
May 27, 2005. His Spanish collaborators and coauthors Amparo Gil and
Javier Segura (Santander) and Jose Luis Lopez (Pamplona), together with
Nico's former student Adri Olde Daalhuis (Edinburgh), had the good idea to
organize an international three-day conference in his honor in Spain. The
SIAM OPSF Activity Group acted as a co-sponsor of the conference.
The title "Special functions: Asymptotic Analysis and Computation"
reflected Nico's main interests in mathematics and
17 invited forty-minute speakers represented
Nico's major scientific contacts. Additionally, there were 13
contributed 20-minute talks and a few contributions to the poster
session. Altogether there were 56 registered participants. Let me
mention here the invited speakers, with some grouping in categories:
- Asymptotics: Kathy Driver, Wolfgang Gawronski, Carla Giordano,
Chris Howls, David Kaminski, Adri Olde Daalhuis, Richard Paris,
Roderick Wong
- Applications in physics and chemistry: Jonathan Connor, Jesus
Dehesa, Francesco Mainardi
- Other topics:
- DLMF project: Dan Lozier
- q- and multivariable special functions: Tom Koornwinder
- orthogonal polynomials: Paco Marcellan
- Painleve equations: Peter Clarkson
- Riemann-Hilbert problems: Arno Kuijlaars
- Connection problems: Javier Sesma
Asymptotics in connection with special functions was evidently an
important focus of this conference. The state of the art could be heard
from leading researchers in this area. Dan Lozier had good news about
the DLMF project. It is approaching completion. Dan carried a draft of
all chapters with him for inspection by anyone interested.
The location of the conference was splendid. The lecture were held in a
building at Santander's beautiful waterfront with nice beaches overlooking
a small bay, and the Atlantic Ocean in the distance. But temperatures were
only around 20 C (normal on Spain's northern coast in summer), there was
some rain, and the sea was very cold: you needed a wetsuit for swimming.
The social program included a reception in Santander's city hall and an
excursion to Santillana del Mar, where we were given a guided tour of the
old church and historic houses. The conference dinner was also held here.
There were some after-dinner speeches highlighting episodes from Nico's
scientific life.
The final address at the conference was by Nico himself. He recalled
some experiences during his career and lessons learned from them. He
thanked the speakers and organizers and made it clear that his official
retirement would not mean a retirement from research and publication.
This conference was a satellite meeting of the FoCM conference which
was held in Santander during June 30 - July 9. During the first three
afternoons of this FoCM conference a workshop was held on "Special
Functions and Orthogonal Polynomials", organized by Guillermo Lopez
and Ed Saff. Also during this workshop there were many interesting
lectures. As it turned out, there was a special focus on
Riemann-Hilbert problems in connection with special functions.
[The conference web site http://www.sf05.unican.es/ contains some photos
and announces that the Proceedings will appear as a special issue of
Journal of Computational and Applied Mathematics. - Ed.]
Topic #4 ---------- OP-SF NET 12.5 ----------- September 15, 2005
~~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Calls for Nominations - SIAM Prizes and Awards
SIAM recently issued calls for nominations for several awards.
(1) SIAM Activity Group on Analysis of PDE Prize
The SIAM Activity Group on Analysis of Partial Differential Equations
(SIAG/APDE) Prize, established in 2005, is awarded to the author(s) of
the most outstanding paper, as determined by the prize committee, on a
topic in Partial Differential Equations published in English in a
peer-reviewed journal within the four calendar years preceding the year
of the award. Nominations, including bibliographic citation and a
justification, should be submitted by December 31, 2005. For further
information, see:
http://www.siam.org/prizes/nominations/nom_siagapde.php
(2) The Richard C. DiPrima Prize
The Richard C. DiPrima Prize is awarded every two years to a young
scientist, based on an outstanding doctoral dissertation in applied
mathematics. Nominations, along with a copy of the dissertation, should
be sent by October 15, 2005. For further information, see:
http://www.siam.org/prizes/nominations/nom_diprima.php
(3) The Julian Cole Lectureship
The Julian Cole Lectureship is awarded every four years to a member of
the scientific or engineering community for an outstanding contribution
to the mathematical characterization and solution of a challenging
problem in the physical or biological sciences, or in engineering, or
for the development of mathematical methods for the solution of such
problems. For further information, see:
http://www.siam.org/prizes/nominations/nom_cole.php
(4) SIAM Activity Group on Linear Algebra Prize
The SIAM Activity Group on Linear Algebra (SIAG/LA) Prize is awarded to
the author(s) of the most outstanding paper on a topic in applicable
linear algebra published in a peer-reviewed journal in the three
calendar years preceding the year of the award. Nominations, including
a copy of the nominated paper, should be sent by January 15, 2006. For
further information, see:
http://www.siam.org/prizes/nominations/nom_laprize.php
(5) W. T. and Idalia Reid Prize
The award will be given for research in, or other contributions to, the
broadly defined areas of differential equations and control theory. The
prize may be given either for a single notable achievement or for a
collection of such achievements. Committee Chair H. T. Banks wishes to
stress the breadth of the eligible fields. For further information, see
http://www.siam.org/prizes/nominations/nom_reid.php
Topic #5 ---------- OP-SF NET 12.5 ----------- September 15, 2005
~~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Preprints in arXiv.org
The following preprints related to the fields of orthogonal polynomials
and special functions were recently posted or cross-listed to one of the
subcategories of arXiv.org. See especially:
http://front.math.ucdavis.edu/math.CA
http://front.math.ucdavis.edu/math.CO
http://front.math.ucdavis.edu/math.QA
http://xxx.lanl.gov/archive/solv-int
http://arxiv.org/abs/math.CA/0507108
Title: A Direct Proof of Landen's Transformation
Authors: Mark B. Villarino
Comments: 8 pages
Subj-class: Classical Analysis and ODEs; General Mathematics
MSC-class: 33C05, 33C75
http://arxiv.org/abs/math.RT/0507111
Title: A special value of the spectral zeta function of the
non-commutative harmonic oscillators
Authors: Hiroyuki Ochiai
Comments: 5 pages, no figures
Subj-class: Representation Theory; Number Theory
MSC-class: 11M36; 33C20
http://arxiv.org/abs/math.CO/0507225
Title: q-Catalan numbers and q-Narayana polynomials
Authors: Johann Cigler
Comments: 10 pages
Subj-class: Combinatorics
MSC-class: 05A15;05A30
http://arxiv.org/abs/math.CO/0507268
Title: The Fermat cubic, elliptic functions, continued fractions, and a
combinatorial excursion
Authors: Eric van Fossen Conrad, Philippe Flajolet
Comments: 44 pages; submitted to "Seminaire Lotharingien de
Combinatoire" (journal), July 2005
Subj-class: Combinatorics; Probability
MSC-class: 05A15; 30B70; 33C75; 60C05
http://arxiv.org/abs/math.AG/0507436
Title: Hypergeometric series and Hodge cycles of four dimensional cubic
hypersurfaces
Authors: Hossein Movasati, Stefen Reiter
Comments: 18 pages
Subj-class: Algebraic Geometry; Number Theory
MSC-class: 14C30
http://arxiv.org/abs/math.NT/0507450
Title: Low lying zeros of L-functions with orthogonal symmetry
Authors: C.P. Hughes, Steven J. Miller
Comments: 31 pages
Subj-class: Number Theory; Mathematical Physics
MSC-class: 11M26 (primary), 11G05, 11G40, 11M26 (secondary)
http://arxiv.org/abs/math.CV/0507534
Title: Uniformization by Lauricella functions--an overview of the theory
of Deligne-Mostow
Authors: Eduard Looijenga
Comments: 28 pages, based on lectures given at the CIMPA summer school,
Istanbul (2005)
Subj-class: Complex Variables; Algebraic Geometry
MSC-class: 33C65; 22E40; 32G20
http://arxiv.org/abs/math.CA/0507580
Title: A family of Sobolev Orthogonal Polynomials on the Unit Ball
Authors: Yuan Xu
Subj-class: Classical Analysis and ODEs
MSC-class: 42A38, 42B08, 42B15
http://arxiv.org/abs/math.CA/0508039
Title: Discrete orthogonal polynomials and difference equations of
several variables
Authors: Plamen Iliev, Yuan Xu
Comments: 31 pages
Subj-class: Classical Analysis and ODEs
MSC-class: 42C05; 33C45
http://arxiv.org/abs/math.NT/0508042
Title: New Vacca-Type Rational Series for Euler's Constant and Its
"Alternating" Analog ln(4/Pi)
Authors: Jonathan Sondow
Comments: 6 pages, submitted for publication, presented at the XXIVth
Journe\'es Arithme\'tiques in Marseilles
Subj-class: Number Theory; Classical Analysis and ODEs
MSC-class: Primary 11Y60, Secondary 40A99
http://arxiv.org/abs/math.QA/0508058
Title: Painleve VI, Rigid Tops and Reflection Equation
Authors: A. Levin, M. Olshanetsky, A. Zotov
Comments: 32 pages
Subj-class: Quantum Algebra; Mathematical Physics; Exactly Solvable and
Integrable Systems
MSC-class: 81R50; 16W30; 70E40
http://arxiv.org/abs/math.CA/0508093
Title: The Heun equation and the Calogero-Moser-Sutherland system V:
generalized Darboux transformations
Authors: Kouichi Takemura
Comments: 24 pages
Subj-class: Classical Analysis and ODEs; Quantum Algebra; Mathematical
Physics; Exactly Solvable and Integrable Systems
MSC-class: 33E10,34M35,82B23
http://arxiv.org/abs/math.SG/0508113
Title: CMV: the unitary analogue of Jacobi matrices
Authors: R. Killip, I. Nenciu
Subj-class: Symplectic Geometry; Mathematical Physics
MSC-class: 70H06
http://arxiv.org/abs/math.CA/0508117
Title: Szego polynomials: a view from the Riemann-Hilbert window
Authors: A. Martinez-Finkelshtein
Comments: 20 pages, 6 figures
Subj-class: Classical Analysis and ODEs; Complex Variables
MSC-class: 42C05
http://arxiv.org/abs/math.CA/0508157
Title: New Exact Solutions of Differential Equations Derived by
Fractional Calculus
Authors: F. S. Felber
Comments: 4 pages, 3 figures, to be published in Applied Mathematics and
Computation
Subj-class: Classical Analysis and ODEs; Numerical Analysis
MSC-class: 34M25; 34M10; 34M05; 34M45
http://arxiv.org/abs/math.CA/0508224
Title: On Extensions of a Theorem of Baxter
Authors: J. S. Geronimo, A. Martinez-Finkelshtein
Comments: 11 pages
Subj-class: Classical Analysis and ODEs
http://arxiv.org/abs/math.CA/0508264
Title: Asymptotic analysis of the Askey-scheme II: from Charlier to
Hermite
Authors: Diego Dominici
Comments: 10 pages
Subj-class: Classical Analysis and ODEs
MSC-class: 33C45 (Primary) 34E05, 33C10 (Secondary)
http://arxiv.org/abs/math.FA/0508544
Title: Asymptotics of orthogonal polynomials beyond the scope of Szego's
theorem
Authors: F. Peherstorfer, A. Volberg, P. Yuditskii
Subj-class: Functional Analysis; Spectral Theory
MSC-class: 42B20, 42C15
http://arxiv.org/abs/math.CA/0508581
Title: Localized polynomial frames on the interval with Jacobi weights
Authors: Pencho Petrushev, Yuan Xu
Comments: J. Four. Anal. Appl. (to appear)
Subj-class: Classical Analysis and ODEs
MSC-class: 42A38, 42B08, 42B15
http://arxiv.org/abs/astro-ph/0508514
Title: Fast spin +-2 spherical harmonics transforms
Authors: Y. Wiaux (1), L. Jacques (2), P. Vandergheynst (1) ((1) Swiss
Federal Institute of Technology, Lausanne, Switzerland, (2)
Universite catholique de Louvain, Louvain-la-Neuve, Belgium)
Comments: 9 pages, 0 figure, Revtex4 (emulateapj)
Subj-class: Astrophysics; Mathematical Physics
http://arxiv.org/abs/math-ph/0508008
Title: - XSummer - Transcendental Functions and Symbolic Summation in
FORM
Authors: S. Moch, P. Uwer
Comments: 21 pages, 1 figure, Latex
Subj-class: Mathematical Physics
http://arxiv.org/abs/math-ph/0508032
Title: Spectra of observables in the q-oscillator and q-analogue of the
Fourier transform
Authors: Anatoliy Klimyk
Comments: 18 pages
Subj-class: Mathematical Physics; Spectral Theory
MSC-class: 81Q10; 81S05; 41B15
http://arxiv.org/abs/math-ph/0508062
Title: Multi-critical unitary random matrix ensembles and the general
Painleve II equation
Authors: T. Claeys, A.B.J. Kuijlaars, M. Vanlessen
Comments: 37 pages, 4 figures
Subj-class: Mathematical Physics; Complex Variables
MSC-class: 15A52; 31A25; 35Q15; 82B23
http://arxiv.org/abs/math-ph/0508066
Title: Elliptic Faulhaber polynomials and Lam\'e densities of states
Authors: M.-P. Grosset, A.P. Veselov
Comments: 22 pages, 1 figure
Subj-class: Mathematical Physics; General Mathematics
MSC-class: 11B83, 33E05
Topic #6 ---------- OP-SF NET 12.5 ----------- September 15, 2005
~~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: About the Activity Group
The SIAM Activity Group on Orthogonal Polynomials and Special Functions
consists of a broad set of mathematicians, both pure and applied. The
Group also includes engineers and scientists, students as well as
experts. We have around 140 members scattered about in more than 20
countries. Whatever your specialty might be, we welcome your
participation in this classical, and yet modern, topic. Our WWW home
page is:
http://math.nist.gov/opsf/
This is a convenient point of entry to all the services provided by the
Group. Our Webmaster is Bonita Saunders (bonita.saunders@nist.gov).
The Activity Group sponsors OP-SF NET, which is transmitted
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For several years the Activity Group sponsored a printed Newsletter,
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Given the widespread availability of email and the Internet, the need for
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SIAM has several categories of membership, including low-cost categories
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Finally, the Activity Group operates an email discussion group, called
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Topic #7 ---------- OP-SF NET 12.5 ----------- September 15, 2005
~~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Submitting contributions to OP-SF NET
To contribute a news item to OP-SF NET, send email to poly@siam.org
with a copy to the OP-SF Editor .
Contributions to OP-SF NET 12.6 should be sent by November 1, 2005.
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OP-SF NET is a forum of the SIAM Activity Group on
Special Functions and Orthogonal Polynomials.
We disseminate your contributions on anything of interest to the
special functions and orthogonal polynomials community. This
includes announcements of conferences, forthcoming books, new
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Send submissions to: poly@siam.org
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The elected Officers of the Activity Group (2005-2007) are:
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