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November 15, 2006
O P - S F N E T Volume 13, Number 6
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Editors:
Diego Dominici dominicd@newpaltz.edu
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. OPSFA - Marseille
2. Special AMS session on OP-SF
3. Kyiv Conference on Nonlinear Mathematical Physics
4. ICIAM Minisymposium on Web Math
5. Terence Tao to receive 2006 SASTRA Ramanujan prize
6. Alexei Okounkov and special functions
7. Book on Jack, Hall-Littlewood and Macdonald Polynomials
8. Corrections to Ismail book on orthogonal polynomials
9. Article on F. V. Atkinson
10. New Public Web Site for the DLMF
11. Call for Nominations - W. T. and Idalia Reid Prize
12. New developments for Journal of Physics A
13. Preprints in arXiv.org
14. About the Activity Group
15. Submitting contributions to OP-SF NET
Calendar of Events:
2007
April 21-22: American Mathematical Society meeting in Tucson,
Arizona, USA including Special Session on Special Functions and
Orthogonal Polynomials 13.6 #2
http://www.ams.org/amsmtgs/2135_program_ss15.html#title
June 24-30: Seventh International Conference: Symmetry in Nonlinear
Mathematical Physics, Kyiv (Kiev), Ukraine 13.6 #3
http://www.imath.kiev.ua/~appmath/conf.html
July 2-6: The 9th Conference on Orthogonal Polynomials, Special
Functions and Applications, Marseille, France 13.6 #1
http://www.cpt.univ-mrs.fr/~cosmo/WEB_OPSFA9/OPSFA9_Bulletin1.html
July 9-13: International Conference on SCIentific Computation and
Differential Equations, Saint-Malo, France
http://scicade07.irisa.fr/
July 16-20: ICIAM 2007 - 6th International Congress on Industrial
and Applied Mathematics, including Minisymposium on Web Math
Zurich, Switzerland
http://www.iciam07.ch 13.4 #2 13.6 #4
September 9-14: Applications of Macdonald Polynomials, Banff
International Research Station, Banff, Alberta, Canada
www.pims.math.ca/birs/birspages.php?task=displayevent&event_id=07w5048
13.5 #1
Topic #1 ---------- OP-SF NET 13.6 ---------- November 15, 2006
~~~~~~~~~~~~~~
From: OP-SF NET Editors
Subject: OPSFA - Marseille
The following information is taken from:
http://www.cpt.univ-mrs.fr/~cosmo/WEB_OPSFA9/OPSFA9_Bulletin1.html
9th OPSFA July, 2nd-6th 2007 - Marseille - Bulletin (1)
The 9th Conference on Orthogonal Polynomials, Special Functions and
Applications will take place from the 2nd to 6th of July 2007 at the
International Center for Mathematical Meetings (CIRM). It is located on
the Universite de la Mediterranee's Campus (Marseille). CIRM is a center
for high level scientific meetings in Mathematics, Theoretical Physics,
Scientific Computing, Computer Algebra, etc...
Background and scope
The 9th International Symposium on Orthogonal Polynomials, Special
Functions and Applications follows the European Conferences of
Bar-le-Duc (France, 1984) opened by Jean Dieudonne, Segovia (Spain,
1986), Erice (Italy, 1990), Granada (Spain, 1991), Evian (France, 1992),
Delft (Holland, 1994, in honour of Thomas Jan Stieltjes (1856-1894)),
Sevilla (Spain 1997), Patras (Greece, 1999, in honour of Theodore
Chihara), Rome (Ostia, Italy, 2001), Copenhagen (Denmark, 2003, in
honour of Richard Askey) and Munich (Germany, 2005). It covers the field
of orthogonal polynomials (OP), special functions and their applications
to other mathematical areas: for instance, q-special functions and
quantum groups, Jacobi matrices and integrable Toda lattices,
Riemann-Hilbert problem and random matrices models), physics chemistry
and biology.
The Organizers: Jacek Gilewicz (Toulon, France), Roland Triay
(Marseille, France), Galliano Valent (Paris, France)
The International Scientific Committee:
Francesco Altomare (Bari, Italy), Richard Askey (Madison, USA), Bernhard
Beckermann (Lille, France), Christian Berg (Copenhagen, Denmark), Jesus
Sanchez Dehesa (Granada, Spain), Mourad E. H. Ismail (Florida, USA),
Valeriy Kalyagin (Nijni-Novgorod, Russia), Marek Kowalski (Warsaw,
Poland), Alphonse Magnus (Louvain-la-Neuve, Belgium), Francisco
Marcellan (Madrid, Spain), Herbert Stahl (Berlin, Germany), Galliano
Valent (Paris, France), Walter Van Assche (Leuven, Belgium).
The Scope of the Seminars:
They are traditionally rather wide and include selected topics on :
* Special Functions, OP and q-Extensions
* q-Difference Equations
* OPRL and OPUC
* Real and Complex Jacobi matrices
* Jacobi matrices and Integrability
* Hermite-PadŽ Approximants
* Continued Fractions
* Determinate and Indeterminate Moment Problems
* Riemann-Hilbert approach to OP
* Matrix OP
Invited Speakers
* Alexander APTEKAREV (Keldysh Institute, Moscow, Russia)
* Bernhard BECKERMANN (University of Lille, Lille, France)
* Sergey DENISOV (University of Madison, Madison, USA)
* Leonid GOLINSKII (Institute for low temperature physics, Kharkov,
Ukraine)
* Alberto GRUNBAUM (University of California, Berkeley, USA)
* Mourad ISMAIL (University of Central Florida, Orlando, USA)
* Rowan KILLIP (University of California, Los Angeles, USA)
* Arno KUIJLAARS (Katholieke Universiteit, Leuven, Belgium)
* Rupert LASSER (TUM, Munich, Germany)
* Alphonse MAGNUS (Catholic University of Louvain, Louvain-la-Neuve,
Belgium)
* Francisco MARCELLAN (University Carlos III, Madrid, Spain)
* Andrei MARTINEZ-FINKELSHTEIN (University of Almeria, Almeria, Spain)
* Wieslaw PLESNIAK (Jagellonian University, Krakow, Poland)
* Jean-Pierre RAMIS (University Paul Sabatier, Toulouse, France)
* Barry SIMON (Caltech, Los Angeles, USA)
* Herbert STAHL (TFH, Berlin, Germany)
* Walter Van ASSCHE (Katholieke Universiteit, Leuven, Belgium)
Practical Information
Contribution: The procedure for registration and submitting
contributions will be explained in Bulletin 2.
Travel: Participants are expected to arrive on Sunday July 1st (evening)
and leave on Saturday July 7th (morning), with no possible extension
organized by the Conference. In case of sufficient funding, transport by
coaches from (and to) Marseille-Marignane Airport will be organized by
the Conference; further informations will be provided in Bulletin 2.
There is additional information at the web site.
Accommodation: Accommodation will be provided for all participants,
either at CIRM (see rates information at the web site) or in the student
village (single bedrooms EURO 20 per night). Other options (hotels in
Marseille or in Cassis; see web site for links) will not be arranged by
the Conference.
Walking: CIRM is located within a 20 minutes walk from the "Calanques",
with no public transportation. It might be wise to wear comfortable
walking shoes and to have a flashlight to make the walk easier by night.
The secretariat addresses are as follows:
Administration: triay@lcpt.univ-mrs.fr
Local Arrangements: gilewicz@cpt.univ-mrs.fr
Scientific Program: gvalent@lumimath.univ-mrs.fr
Topic #2 ---------- OP-SF NET 13.6 ---------- November 15, 2006
~~~~~~~~~~~~~~
From: OP-SF NET Editors
Subject: Special AMS session on OP-SF
There will be a Special Session on Special Functions and Orthogonal
Polynomials, organized by Diego Dominici, State University of New York
at New Paltz (dominicd@newpaltz.edu ) and Robert S. Maier, University of
Arizona (rsm@math.arizona.edu ) the 2007 Spring Western Section Meeting
of the American Mathematical Society to be held at Tucson, AZ, April
21-22, 2007 (Saturday - Sunday). See
http://www.ams.org/amsmtgs/2135_program_ss15.html#title
Topic #3 ---------- OP-SF NET 13.6 ---------- November 15, 2006
~~~~~~~~~~~~~~
From: OP-SF NET Editors
Subject: Kyiv Conference on Nonlinear Mathematical Physics
The following information is taken from the conference web site:
http://www.imath.kiev.ua/~appmath/conf.html
Seventh International Conference:
Symmetry in Nonlinear Mathematical Physics
June 24-30, 2007
Institute of Mathematics,
National Academy of Sciences of Ukraine,
Kyiv (Kiev), Ukraine
TOPICS to be discussed at this conference include
* Geometrical methods in mathematical physics
* Lie theory and differential equations
* Integrable and nonintegrable systems, solitons, Painleve analysis
* Dynamical systems and quantum chaos
* Exactly and quasi-exactly solvable models
* Supergroups and nonlinear algebraic structures
* Lie groups and algebras, representation theory and special functions
* q-algebras, quantum groups and noncommutative geometry
* Supersymmetry and supergravity, strings and branes
* Cosmology and quantum gravity
Among the tentative participants are
Carl Bender (St. Louis, USA) - Faster than Hermitian quantum mechanics
Francesco Calogero (Rome, Italy) - Isochronous systems
Jose F. Carinena (Zaragoza, Spain) - Super-integrability preserving
deformations of super-integrable systems
Peter Clarkson (Kent, UK) - Rational solutions of soliton equations
Heinz-Dietrich Doebner (Clausthal, Germany) - Nonlinear evolutions on
configurations spaces as consequence of their global structure
Michael Eastwood (Adelaide, Australia) - Symmetries and invariant
differential pairings
Athanassios Fokas (Cambridge, UK) - Integrable nonlinear PDEs in 4+2
and 3+1
Roman Jackiw (Cambridge, USA) - Weyl-invariant dynamics
Niky Kamran (Montreal, Canada) - Wave equations in black hole
geometries
Iosif Khriplovich (Novosibirsk, Russia) - First-order formalism in
quantum gravity
Anatoliy Klimyk (Kyiv, Ukraine) - Antisymmetric exponential functions
and (anti)symmetric multivariate Fourier and trigonometric transforms
Tom Koornwinder (Amsterdam, the Netherlands) - Structure relations for
bispectral systems
Petr Kulish (St. Petersburg, Russia) - Quantum group symmetries of
integrable spin chains
Peter Leach (Durban, South Africa) - Lie Groups and Quantum Mechanics
Franco Magri (Milano, Italy) - to be announced
Alexander Mikhailov (Leeds, UK) - to be announced
Willard Miller (Minneapolis, USA) - Classification and structure theory
for second order superintegrable systems in classical and quantum
mechanics
Mikhail Olshanetsky (Moscow, Russia) - 4d gauge theories and classical
integrable systems
Jiri Patera (Montreal, Canada) - Lie algebra image processing in 3D.
Applications to brain imaging
Vladislav Pukhnachov (Novosibirsk, Russia) - Group analysis of the
Navier-Stokes equations
Tudor Ratiu (Lausanne, Switzerland) - New integrable geodesic flows on
the symplectic group
Israel Michael Sigal (Toronto, Canada) - Some mathematical problems in
the Ginzburg-Landau theory of superconductivity
Alexander Varchenko (Chapel Hill, USA) - The B. and M. Shapiro
conjecture in real algebraic geometry and the Bethe ansatz
Pavel Winternitz (Montreal, Canada) - Continuous symmetries of
difference equations with applications in physics and numerical analysis
The deadline for registration isÐ May 24, 200.
The registration form
details of accommodation. registration, etc
and information on previous conferences in the series
are available at the web site
http://www.imath.kiev.ua/~appmath/conf.html
Conference Address:
Anatoly Nikitin
Institute of Mathematics, National Academy of Sciences of Ukraine
3 Tereshchenkivs'ka Street, Kyiv 4, 01601 Ukraine
E-mail: appmath@imath.kiev.ua
Fax: +38 044 235 20 10
Phone: +38 044 234 63 22
Topic #4 ---------- OP-SF NET 13.6 ---------- November 15, 2006
~~~~~~~~~~~~~~
From: Dan Lozier lozier@nist.gov
Subject: ICIAM Minisymposium on Web Math
A minisymposium "Math on the Web: Content Development and
Implementation" is being scheduled for the International Congress on
Industrial and Applied Mathematics, to be held in Zurich, July 16-20,
2007. The speakers and their titles are:
Frank Olver, Writing and Editing the DLMF
Michael Berry, Envisioning Light: Software-Assisted Research in Optical
Singularities
Robert Miner, Lessons from the Trenches: A Survey of Approaches to
Large-Scale Projects
Abdou Youssef, Recent Advances in Math Search
Bruce Miller, Creating Webs of Math using LaTeX
Stephen Watt, Respecting Implicit Semantics in Mathematical Markup
Paul Libbrecht, Content-Level Mathematics: Its Use in Learning on the
Web
Olga Caprotti, Language Technologies for Semantic Markup in Mathematics
Topic #5 ---------- OP-SF NET 13.6 ---------- November 15, 2006
~~~~~~~~~~~~~~
From: OP-SF NET Editors
Subject: Terence Tao to receive 2006 SASTRA Ramanujan prize
Thanks to Tom Koornwinder for drawing our attention to this news item at
http://www.math.ufl.edu/sastra-prize/2006.html
TERENCE TAO TO RECEIVE 2006 SASTRA RAMANUJAN PRIZE
The 2006 SASTRA Ramanujan Prize will be awarded to Professor Terence Tao
of the University of California at Los Angeles (UCLA). This annual
prize, which was launched in 2005, is for outstanding contributions to
areas of mathematics influenced by the genius Srinivasa Ramanujan. The
age limit for the prize has been set at 32 because Ramanujan achieved so
much in his brief life of 32 years. The $10,000 prize will be awarded at
the International Conference on Number Theory and Combinatorics, Dec
19-22, at SASTRA University in Kumbakonam, India, Ramanujan's hometown.
Professor Tao has made path-breaking contributions in number theory,
harmonic analysis, representation theory, and partial differential
equations. His work has had major impact in combinatorics and ergodic
theory as well. In the course of making significant progress on
fundamental long-standing problems in these different areas, Tao has
collaborated with a wide range of mathematicians.
One of Tao's most notable contributions is to the famous Kakeya Problem
in higher dimensions, which has major applications in Fourier analysis
and partial differential equations. One important aspect of the problem
is to determine the fractal dimension of the set generated by rotating a
needle in n-dimensional space. In joint work with Nets Katz, Izabella
Laba and others, Tao significantly improved all previously known
estimates for the fractal dimension using new and surprisingly simple
combinatorial ideas in an ingenious way. Another of Tao's outstanding
contributions is his joint work with Ben Green on long arithmetic
progressions of prime numbers. One of the deepest results in this area
is a theorem of the Hungarian mathematician Szemeredi which asserts that
any set of positive integers which has positive density will have
arbitrarily long arithmetic progressions. Another proof of Szemeredi's
theorem using very different ideas was given by 1998 Fields Medallist
Timothy Gowers. Szemeredi's theorem does not apply to the primes which,
due to their sparseness, have density zero. Nevertheless it was
conjectured that there are arbitrarily long arithmetic progressions of
prime numbers and this was proved by Tao and Green by combining methods
of ergodic theory with the ideas of Gowers.
Yet another fundamental contribution of Tao concerns the sum-product
problem which is due to the late Paul Erdos, one of the greatest
mathematicians of the twentieth century, and his brilliant protege
Szemeredi. Roughly speaking, this problem of Erdos and Szemeredi states
that either the sumset or the product set of any set of N numbers must
be large. Tao was the first to recognize the significance of this
problem in combinatorial number theory and harmonic analysis. In
collaboration with 1994 Fields Medallist Jean Bourgain and Nets Katz,
Tao made important generalizations and refinements of the original
Erdos-Szemeredi problem. This "sum-product theory" has become one of the
key ingredients in many recent breakthroughs in harmonic analysis and
number theory.
Tao's work has also provided a fresh look at the properties of wave maps
which occur naturally in Einstein's theory of general relativity. In
other contributions that have major impact in physics, Tao and
collaborators have provided new insights in the theory of Schroedinger
equations, which for example, are used to describe the behaviour of
light in an optical cable. Finally, in collaboration with Allen Knutson,
Tao solved the well-known saturation conjecture in representation
theory. Thus, at this very young age of 31, Tao is one of the most
versatile mathematicians of our generation.
Tao was born in Adelaide, Australia in 1975 and lived there until 1992. He
did his BSc (Honours) and MSc at Flinders University of South Australia.
He then went to Princeton University in 1992 for his PhD, which he
completed in 1996 under the direction of Professor Elias Stein. He
received a Sloan Dissertation Fellowship for the final year of his PhD
work. He is currently professor at the University of California in Los
Angeles.
Honours have come in a steady stream to Tao in the past few years. For
his fundamental work in analysis, he was the recipient of the Salem
Prize in 2000. He also received the Bocher Prize of the American
Mathematical Society (AMS) in 2002, and the AMS Conant Prize in 2005.
And in August 2006, at the International Congress of Mathematicians in
Madrid, Tao was awarded the prestigious Fields Medal. Following that,
Tao was awarded the MacArthur Fellowship.
Tao emerged as the top choice for the SASTRA Prize from a pool of
brilliant young mathematicians from around the world. The international
panel of experts who formed 2006 SASTRA Ramanujan Prize Committee are:
Chair - Krishnaswami Alladi (University of Florida), George Andrews (The
Pennsylvania State University), Manjul Bhargava (Princeton University),
James Lepowsky (Rutgers University), Tom Koornwinder (University of
Amsterdam), Kannan Soundararajan (University of Michigan and Stanford
University), and Michel Waldschmidt (University of Paris).
By awarding the first SASTRA Ramanujan Prizes to Manjul Bhargava and
Kannan Soundararajan in 2005, an exceptionally high standard was set.
This is now continued with the award of the 2006 SASTRA Prize to Terence
Tao.
Krishnaswami Alladi
Chair, 2006 SASTRA Ramanujan Prize Committee
University of Florida
Topic #6 ---------- OP-SF NET 13.6 ---------- November 15, 2006
~~~~~~~~~~~~~~
From: OP-SF NET Editors
Subject: Alexei Okounkov and special functions
Alexei Okounkov, who was awarded on of the 2006 Fields medals is known
for his work in representation theory, probability theory, and algebraic
geometry. Among his many publications, he has about ten papers dealing
with special functions, mostly in the second half of the nineties, and
notably on Jack and Macdonald polynomials and their shifted versions.
(Thanks to Tom Koornwinder for this information.)
Topic #7 ---------- OP-SF NET 13.6 ---------- November 15, 2006
~~~~~~~~~~~~~~
From: Tom Koornwinder thk@science.uva.nl
Subject: Book on Jack, Hall-Littlewood and Macdonald Polynomials
The following information is from the web site:
http://www.ams.org/bookstore?fn=20&arg1=conmseries&item=CONM-417
Jack, Hall-Littlewood and Macdonald Polynomials
Edited by: Vadim B. Kuznetsov, and Siddhartha Sahi, Rutgers University,
New Brunswick, NJ
American Mathematical Society
Contemporary Mathematics, Volume: 417
2006; 360 pp; softcover
ISBN-10: 0-8218-3683-8
ISBN-13: 978-0-8218-3683-5
List Price: US$99; AMS Member Price: US$79
"The subject of symmetric functions began with the work of Jacobi,
Schur, Weyl, Young and others on the Schur polynomials. In the 1950's
and 60's, far-reaching generalizations of Schur polynomials were
obtained by Hall and Littlewood (independently) and, in a different
direction, by Jack. In the 1980's, Macdonald unified these developments
by introducing a family of polynomials associated with arbitrary root
systems.
"The last twenty years have witnessed considerable progress in this
area, revealing new and profound connections with representation theory,
algebraic geometry, combinatorics, special functions, classical analysis
and mathematical physics. All these fields and more are represented in
this volume, which contains the proceedings of a conference on "Jack,
Hall-Littlewood and Macdonald polynomials" held at ICMS, Edinburgh,
during September 23-26, 2003.
"In addition to new results by leading researchers, the book contains a
wealth of historical material, including brief biographies of Hall,
Littlewood, Jack and Macdonald; the original papers of Littlewood and
Jack; notes on Hall's work by Macdonald; and a recently discovered
unpublished manuscript by Jack (annotated by Macdonald). The book will
be invaluable to students and researchers who wish to learn about this
beautiful and exciting subject."
Readership: Research mathematicians interested in algebraic
combinatorics.
Table of Contents
Part 1. Historic Material
* B. D. Sleeman -- Henry Jack 1917-1978
* A. O. Morris -- Philip Hall
* A. O. Morris -- Dudley Ernest Littlewood
* A. O. Morris -- Ian Macdonald
* I. G. Macdonald -- The algebra of partitions
* D. E. Littlewood -- On certain symmetric functions
* H. Jack -- A class of symmetric polynomials with a parameter
* H. Jack -- A class of polynomials in search of a definition, or
the symmetric group parametrized
* I. G. Macdonald -- Commentary on the previous paper
* H. Jack, G. de B. Robinson, and W. N. Everitt -- First letter from
Henry Jack to G. de B. Robinson/Second letter reply from G. de
B. Robinson to Henry Jack/Third letter from W. N. Everitt to
G. de B. Robinson
Part 2. Research Articles
* H. Coskun and R. A. Gustafson -- Well-poised Macdonald functions
$W_{\lambda}$ and Jackson coefficients $\omega_\lambda$ on
$BC_n$
* J. F. van Diejen -- Asymptotics of multivariate orthogonal
polynomials with hyperoctahedral symmetry
* P. Etingof and A. Oblomkov -- Quantization, orbifold cohomology, and
Cherednik algebras
* B. Ion and S. Sahi -- Triple groups and Cherednik algebras
* M. Kasatani, T. Miwa, A. N. Sergeev, and A. P. Veselov -- Coincident
root loci and Jack and Macdonald polynomials for special
values of the parameters
* T. H. Koornwinder -- Lowering and raising operators for some special
orthogonal polynomials
* V. B. Kuznetsov and E. K. Sklyanin -- Factorization of symmetric
polynomials
* E. Langmann -- A method to derive explicit formulas for an elliptic
generalization of the Jack polynomials
* M. Lassalle -- A short proof of generalized Jacobi-Trudi expansions
for Macdonald polynomials
* A. Okounkov and G. Olshanski -- Limits of $BC$-type orthogonal
polynomials as the number of variables goes to infinity
* E. M. Rains -- A difference-integral representation of Koornwinder
polynomials
* M. Schlosser -- Explicit computation of the
$q,t$-Littlewood-Richardson coefficients
* V. P. Spiridonov -- A multiparameter summation formula for Riemann
theta functions
Part 3. Vadim Borisovich Kuznetsov 1963-2005
* B. D. Sleeman and E. K. Sklyanin -- Vadim Borisovich Kuznetsov
1963-2005
Topic #8 ---------- OP-SF NET 13.6 ---------- November 15, 2006
~~~~~~~~~~~~~~
From: Mourad Ismail ismail@math.ucf.edu
Subject: Corrections to book on orthogonal polynomials
Some corrections to the book "Classical and Quantum Orthogonal
Polynomials in one Variable", Cambridge University Press, 2005,
announced in OP-SF NET 12.6, Topic #6, are to be found at
http://math.ucf.edu/~ismail/ismail_files/Cambridgeerrata.pdf
Topic #9 ---------- OP-SF NET 13.6 ---------- November 15, 2006
~~~~~~~~~~~~~~
From: OP-SF NET Editors
Subject: Article on F. V. Atkinson
We draw attention to the article Angelo B. Mingarelli, A glimpse into
the life and times of F. V. Atkinson, Mathematische Nachrichten, vol.
278 (2005), 1364-1387. This gives a very complete and moving account of
Atkinson (1916-2002) and his work including fundamental results on
orthogonal polynomials and spectral theory of ordinary differential
equations.
Topic #10 ---------- OP-SF NET 13.6 ---------- November 15, 2006
~~~~~~~~~~~~~~
From: Dan Lozier lozier@nist.gov
Subject: New Public Web Site for the DLMF
The Digital Library of Mathematical Functions is being created as a Web
and hardcopy replacement for the Abramowitz and Stegun Handbook of
Mathematical Functions. It will contain almost 40 chapters presenting
useful properties of special functions and describing essential methods
for working with the functions. The Web version will include interactive
graphics, links to available software, a search capability based on
mathematical queries, and many other special features. Public release is
planned in 2007.
A public Web site, http://dlmf.nist.gov , has existed since project
inception. Tremendous progress has been made recently in refining the
Web capabilities and making them user-friendly. Most of the current
capabilities of the NIST internal Web site are accessible now at
http://dlmf.nist.gov/Contents , together with a new sample chapter on the
gamma and related functions. Everyone is invited to have a look and use
the feedback links to send comments to the project leaders.
The DLMF is a project of the National Institute of Standards and
Technology with external funding provided by the National Science
Foundation. Its contributors include approximately 50 authors and
validators from outside NIST.
Topic #11 ---------- OP-SF NET 13.6 ---------- November 15, 2006
~~~~~~~~~~~~~~
From: J. M. Littleton Littleton@siam.org
Subject: Call for Nominations - W. T. and Idalia Reid Prize
CALL FOR NOMINATIONS - W. T. and Idalia Reid Prize
The W. T. and Idalia Reid Prize is awarded 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.
The prize will be awarded at the 2007 SIAM Conference on Control and Its
Applications (CT07) to be held June 29 - July 1, 2007, in San Francisco,
California. The award consists of an engraved medal and a $10,000 cash
prize. The prize recipient is requested to present a lecture at the
meeting. SIAM will reimburse reasonable travel expenses for the
recipient to attend the meeting and give the lecture.
Nominations, including a description of achievement(s), should be
addressed to Professor H. T. Banks, Chair, W. T. and Idalia Reid Prize
Committee and sent by NOVEMBER 30, 2006, to J. M. Littleton at
littleton@siam.org . Inquiries should be addressed to
littleton@siam.org . Complete calls for nominations for SIAM prizes can
be found at www.siam.org/prizes/nominations.php .
Topic #12 ---------- OP-SF NET 13.6 ---------- November 15, 2006
~~~~~~~~~~~~~~
From: OP-SF NET Editors
Subject: New developments for Journal of Physics A
The following is extracted from an email from Carl Bender
jphysa@iop.org .
We would like to tell you about some forthcoming changes happening in
Journal of Physics A (JPA) in 2007.
As you know, JPA is a journal of theoretical physics focusing on
sophisticated mathematical and computational techniques. From issue 1
of 2007 the journal will change its title to Journal of Physics A:
Mathematical and Theoretical to better reflect the nature, scope and
spirit of the research we publish.
We are also pleased to announce that the journal is launching a brand
new article type entitled Fast Track Communications: Short Innovative
Papers (FTCs). FTCs will announce important new results in mathematical
and theoretical physics and are free from the constraint of 'general
interest'. Full details about Fast Track Communications will be
available on the journal website soon at
http://www.iop.org/EJ/journal/JPhysa .
If you would like to know more about these developments, you can also
read an announcement by Carl Bender and Neil Scriven online at
http://herald.iop.org/jpa.dev/m81/ayc/200185/link/412 .
For further information about these changes or any other aspect of the
journal, please do not hesitate to contact Neil Scriven at
neil.scriven@iop.org .
Carl Bender, Washington University, St Louis, MO, USA
Editor-in-Chief,
Journal of Physics A: Mathematical and General
and
Neil Scriven, Publisher,
Journal of Physics A: Mathematical and General
http://www.iop.org/ej/journal/jphysa
Topic #13 ---------- OP-SF NET 13.6 ---------- November 15, 2006
~~~~~~~~~~~~~~
From: OP-SF NET Editors
Subject: Preprints in arXiv.org
The following preprints related to the fields of orthogonal polynomials
and special functions were posted or cross-listed to one of the
subcategories of arXiv.org during September and October 2006. 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
[The list below was inadvertently omitted from the version of OP-SF NET
mailed to members of the Activity Group on November 16, 2006.]
http://www.arxiv.org/abs/math.CA/0609023
Title: Fourth-order Bessel-type special functions: a survey
Authors: W. N. Everitt
Subj-class: Classical Analysis and ODEs
MSC-class: 33C10; 34B05; 34L05
http://www.arxiv.org/abs/math.NT/0609086
Title: p-adic q-expansion of alternating sums of powers
Authors: Taekyun Kim
Comments: 12 pages
Subj-class: Number Theory
MSC-class: 11S80, 11B68, 11m98
http://www.arxiv.org/abs/math.CA/0609094
Title: Pade and Hermite-Pade approximation and orthogonality
Authors: Walter Van Assche
Comments: 31 pages
Subj-class: Classical Analysis and ODEs; Numerical Analysis
MSC-class: 41A21; 41A28; 42C05; 33C45
Journal-ref: Surveys in Approximation Theory 2 (2006), 61-91
http://www.arxiv.org/abs/math.CA/0609196
Title: Hyperbolic Schwarz map for the hypergeometric differential
equation
Authors: Takeshi Sasaki, Kotaro Yamada, Masaaki Yoshida
Comments: 16 pages, 8 figures
Subj-class: Classical Analysis and ODEs
MSC-class: 33C05, 53C42
http://www.arxiv.org/abs/math.NT/0609283
Title: Fibonacci numbers and orthogonal polynomials
Authors: Christian Berg
Subj-class: Number Theory; Classical Analysis and ODEs
MSC-class: 11B39;33D45
http://www.arxiv.org/abs/math.PR/0609442
Title: Convexity of the median in the gamma distribution
Authors: Christian Berg, Henrik L. Pedersen
Subj-class: Probability; Classical Analysis and ODEs
MSC-class: 60E05;41A60;33B15
http://www.arxiv.org/abs/math.FA/0609451
Title: Asymptotics of the Airy-kernel determinant
Authors: P. Deift, A. Its, I. Krasovsky
Comments: 41 pages, 6 figures
Subj-class: Functional Analysis; Mathematical Physics
http://www.arxiv.org/abs/math.CO/0609596
Title: Some identities and formulas involving generalized Catalan
numbers
Authors: Siu-Ah Ng
Comments: 19 pages, 7 figures
Subj-class: Combinatorics
http://www.arxiv.org/abs/math.NT/0609775
Title: On Plouffe's Ramanujan Identities
Authors: Linas Vepstas
Comments: 16 pages, 3 figures
Subj-class: Number Theory; Combinatorics
MSC-class: 11M06
http://www.arxiv.org/abs/math.NT/0609799
Title: Multiple series connected to Hoffman's conjecture on multiple
zeta values
Authors: Stephane Fischler
Comments: 22 pages
Subj-class: Number Theory
MSC-class: 33C20, 33C70, 11M06, 11J20, 11J72
http://www.arxiv.org/abs/gr-qc/0609020
Title: Introduction to spectral methods
Authors: Philippe Grandclement (LUTH)
Comments: 20 pages, 15 figures
Subj-class: General Relativity and Quantum Cosmology; Spectral Theory;
Computational Physics
Journal-ref: Stellar fluid dynamics and numerical simulations: from the
sun to neutron stars, France (2006) 153
http://www.arxiv.org/abs/math-ph/0609035
Title: Criterion for polynomial solutions to a class of linear
differential equation of second order
Authors: Nasser Saad, Richard L. Hall, Hakan Ciftci
Comments: 12 pages
Subj-class: Mathematical Physics
MSC-class: 34B40; 81Q05; 81Q15
http://www.arxiv.org/abs/math-ph/0609087
Title: Iterative solution of differential equations
Authors: Paolo Amore, Hakan Ciftci, Francisco M. Fernandez
Comments: 12 pages
Subj-class: Mathematical Physics
http://www.arxiv.org/abs/nlin.SI/0609007
Title: Single polymer dynamics in elongational flow and the confluent
Heun equation
Authors: D. Vincenzi, E. Bodenschatz
Comments: 9 pages, 6 figures
Subj-class: Exactly Solvable and Integrable Systems; Mathematical
Physics; Soft Condensed Matter
Journal-ref: J. Phys. A: Math. Gen., vol. 39, pp. 10691-10701 (2006)
http://www.arxiv.org/abs/math.NT/0610108
Title: The Continuing Story of Zeta
Authors: Graham Everest, Christian Roettger, Tom Ward
Comments: Extra references added
Subj-class: Number Theory; General Mathematics
MSC-class: 11M06
http://www.arxiv.org/abs/math.CA/0610109
Title: On Erd\'{e}lyi-Magnus-Nevai conjecture for Jacobi polynomials
Authors: Ilia Krasikov
Subj-class: Classical Analysis and ODEs
MSC-class: 33C45
http://www.arxiv.org/abs/math.CA/0610111
Title: An upper bound on Jacobi polynomials
Authors: Ilia Krasikov
Subj-class: Classical Analysis and ODEs
MSC-class: 33C45
http://www.arxiv.org/abs/math.CA/0610128
Title: A matrix Rodrigues formula for classical orthogonal polynomials
in two variables
Authors: A. Alvarez de Morales, L. Fernandez, T. E. Perez, M. A. Pi–ar
Comments: 17 pages
Subj-class: Classical Analysis and ODEs
MSC-class: 42C05 (Primary) 33C50 (Secondary)
http://www.arxiv.org/abs/math.CA/0610153
Title: A semiclassical perspective on multivariate orthogonal
polynomials
Authors: M. Alvarez de Morales, L. Fernandez, T. E. Perez, M. A. Pi–ar
Comments: 10 pages
Subj-class: Classical Analysis and ODEs
MSC-class: 42C05 (Primary) 33C50 (Secondary)
http://www.arxiv.org/abs/math.CO/0610185
Title: Actions on permutations and unimodality of descent polynomials
Authors: Petter Branden
Comments: 18 pages
Subj-class: Combinatorics
MSC-class: 06A0; 05A05; 05E99;13F55
http://www.arxiv.org/abs/math.CA/0610191
Title: Asymptotics of a ${}_3F_2$ polynomial associated with the
Catalan-Larcombe-French sequence
Authors: Nico M. Temme
Comments: 10 pages, 1 figure. Accepted for publication in {\em Analysis
and Applications}
Subj-class: Classical Analysis and ODEs
MSC-class: 41A60; 33C20; 11B83; 33C10
http://www.arxiv.org/abs/math.NT/0610281
Title: Gaussian hypergeometric series and extensions of supercongruences
Authors: Robert Osburn, Carsten Schneider
Comments: 28 pages
Subj-class: Number Theory
MSC-class: 11F33, 33F10, 11S80
http://www.arxiv.org/abs/math.CA/0610471
Title: Random Matrix Theory and the Sixth Painlev\'e Equation
Authors: P.J. Forrester, N.S. Witte
Comments: Dedicated to the centenary of the publication of the
Painlev\'e VI equation in the Comptes Rendus de l'Academie des
Sciences de Paris by Richard Fuchs in 1905
Subj-class: Classical Analysis and ODEs; Mathematical Physics
MSC-class: 05E35; 39A05; 37F10; 33C45; 34M55
Journal-ref: J. Phys. A: Math. Gen. {\bf 39}, 12211-12233 (2006)
http://www.arxiv.org/abs/math.CV/0610479
Title: Difference independence of the Riemann zeta function
Authors: Yik-Man Chiang, Shaoji Feng
Comments: To appear in Acta Arithmetica
Subj-class: Complex Variables; Number Theory
MSC-class: 10H05, 30D35
http://www.arxiv.org/abs/math.CA/0610499
Title: The generalized-Euler-constant function $\gamma(z)$ and a
generalization of Somos's quadratic recurrence constant
Authors: Jonathan Sondow, Petros Hadjicostas
Comments: 26 pages, 2 figures, to appear in J. Math. Anal. Appl
Subj-class: Classical Analysis and ODEs; Number Theory
MSC-class: 11M35, 11Y55, 11Y60, 33B15, 33B30, 40A05, 40A20
http://www.arxiv.org/abs/math.CO/0610546
Title: Finite q-identities related to well-known theorems of Euler and
Gauss
Authors: Johann Cigler
Comments: 10 pages
Subj-class: Combinatorics
MSC-class: 05A30; 11B65
http://www.arxiv.org/abs/math.CA/0610673
Title: Special Solutions of the Sixth Painleve Equation with Solvable
Monodromy
Authors: Kazuo Kaneko, Shoji Okumura
Comments: 15 pages, 6 figures
Subj-class: Classical Analysis and ODEs
MSC-class: 34M55; 33E17
http://www.arxiv.org/abs/math.MG/0610856
Title: Semidefinite programming, multivariate orthogonal polynomials,
and codes in spherical caps
Authors: Christine Bachoc, Frank Vallentin
Comments: 14 pages
Subj-class: Metric Geometry; Combinatorics
MSC-class: 52C17, 90C22
http://www.arxiv.org/abs/math.CA/0610953
Title: Controllability of the Laguerre and the Jacobi Equations
Authors: Diomedes Barcenas, Hugo Leiva, Yamilet Quintana, Wilfredo
Urbina
Comments: 10 pages
Subj-class: Classical Analysis and ODEs; Analysis of PDEs
MSC-class: 93B05; 93C25
http://www.arxiv.org/abs/math.SP/0610987
Title: Zeros of OPUC and Long Time Asymptotics of Schur and Related
Flows
Authors: Barry Simon
Subj-class: Spectral Theory
MSC-class: 05E25; 37K10; 39A11
http://www.arxiv.org/abs/math.SP/0610989
Title: Poisson Brackets of Orthogonal Polynomials
Authors: Maria Jose Cantero, Barry Simon
Subj-class: Spectral Theory
MSC-class: 05E25; 37K10; 53D17
http://www.arxiv.org/abs/math-ph/0610071
Title: Nonlinear Integral-Equation Formulation of Orthogonal Polynomials
Authors: Carl M. Bender, E. Ben-Naim
Comments: 7 pages
Subj-class: Mathematical Physics
http://www.arxiv.org/abs/math-ph/0610079
Title: Examples of Feynman-Jackson integrals
Authors: Rafael Diaz, Eddy Pariguan
Comments: 5 figures, 10 pages
Subj-class: Mathematical Physics
http://www.arxiv.org/abs/nlin.SI/0610048
Title: Hypergeometric solutions to ultradiscrete Painleve equations
Authors: Chris M. Ormerod
Comments: 10 pages, 2 figures
Subj-class: Exactly Solvable and Integrable Systems
http://www.arxiv.org/abs/nlin.SI/0610058
Title: Relations for zeros of special polynomials associated to the
Painleve equations
Authors: Nikolai A. Kudryashov, Maria V. Demina
Comments: 17 pages, 5 figures
Subj-class: Exactly Solvable and Integrable Systems
Topic #14 ---------- OP-SF NET 13.6 ---------- November 15, 2006
~~~~~~~~~~~~~~
From: OP-SF NET Editors
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 Editors are Diego Dominici
(dominicd@newpaltz.edu) and Martin Muldoon (muldoon@yorku.ca ).
To receive the OP-SF NET, send your name and email address to
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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:
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Given the widespread availability of email and the Internet, the need for
the printed Newsletter has decreased. Discussions are underway concerning
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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
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 #15 ---------- OP-SF NET 13.6 ---------- November 15, 2006
~~~~~~~~~~~~~~
From: OP-SF NET Editors
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 one of the OP-SF Editors dominicd@newpaltz.edu or
muldoon@yorku.ca .
Contributions to OP-SF NET 14.1 should be sent by January 1, 2007.
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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
Subscribe by mailing to: poly-request@siam.org
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Back issues can be obtained at the WWW addresses:
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Information on joining SIAM
and this activity group: service@siam.org
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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:
Diego Dominici, OP-SF NET co-editor
Martin Muldoon, OP-SF NET co-editor
Bonita Saunders, Webmaster
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