September 15, 2002
O P - S F N E T Volume 9, 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 Editor
2. Madison Session on Special functions and Combinatorics
3. New book on Hilbert space, boundary value problems and
orthogonal polynomials
4. Call for Nominations - The Peter Henrici Prize
5. 2003 SIAM Student Paper Prizes
6. Preprints in xxx Archive
7. About the Activity Group
8. Submitting contributions to OP-SF NET and Newsletter
Calendar of Events:
2002
September 23-27: International Conference on Special Functions
and their Applications, Chennai, India 9.2 #4
October 12-13: Special Session on Special functions and Combinatorics
during the AMS meeting, Madison, WI, USA 9.4 #3 9.4 #2
2003
January 15-18: Annual Meeting of American Mathematical Society
including special session on "Special Functions
and q-Series" Baltimore, Maryland, USA 9.3 #1
May 14-17: Advances in Constructive Approximation, Nashville,
Tennessee, USA 9.4 #7
June 18-21: Special session on "Constructive Approximation Theory"
during the AMS-RSME Joint Meeting, Seville, Spain 9.4 #4
July 7-11: 5th International Congress on Industrial and Applied
Mathematics, ICIAM 2003, Sydney, Australia. 8.6 #6
August 11-16: Fourth ISAAC Congress, Toronto, Canada 9.2 #6 9.4 #5
August 18-22: Seventh International Symposium on Orthogonal
Polynomials, Special Functions and Applications,
Copenhagen, Denmark 8.6 #7 9.4 #6
Future plans:
There are plans to organize a summer school on Orthogonal Polynomials and
Special Functions in Portugal in July 2003. (Contact person: Amilcar
Branquinho). This is in the series Laredo (2000), Inzell (2001) and Leuven
(2002; see Topic #5). The coordinator of the three summer schools is Erik
Koelink (koelink@dutiaw4.twi.tudelft.nl). These summer schools are part of
our Activity Group's scientific program. The scientific committee consists
of Erik Koelink, Rupert Lasser, Amilcar Branquinho, Paco Marcellan and
Walter Van Assche.
Dan Lozier (OP-SF NET 9.4, Topic #2) suggests a SIAM-sponsored meeting in
Orthogonal Polynomials and Special Functions to be held in Washington, DC
in June 2004.
Topic #1 ------------ OP-SF NET 9.5 ------------- September 15, 2002
~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Message from the Editor
There was a delay in sending out OP-SF NET 9.4. This was partly because we
wanted to make sure that the Message from the Chair (Topic #2) did not
misrepresent anything SIAM Director Jim Crowley had said about he matters
discussed there. This took longer than expected.
The matters discussed are important because they involve two possible new
initiatives for our Activity Group: a SIAM-sponsored OP-SF Prize, and a
SIAM-sponsored OP-SF Conference in Washington, DC, in June 2004. Please
refer to the Message from the Chair in OP-SF NET 9.4 for further
information.
Topic #2 ------------ OP-SF NET 9.5 ------------- September 15, 2002
~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Madison Session on Special functions and Combinatorics
Here is the list of speakers and titles of talks in the Special Session on
Combinatorics and Special Functions, organized by Richard Askey and Paul
Terwilliger, to be held during the meeting of the American Mathematical
Society in Madison Wisconsin, October 12-13, 2002. See OP-SF NET 9.4, Topic
#3. Presenters are indicated by an asterisk. This is from the web site:
http://www.ams.org/amsmtgs/2077_special.html
New Formulas for Ramanujan's Tau Function and the Leech Lattice.
Stephen C Milne*, The Ohio State University
Special Functions Related to Representations of High Dimension Lie
Groups.
Alexander Rozenblyum*, New York City College of Technology, CUNY
Fifth Order Mock Theta Functions.
Boon P Yeap*, University of Illinois at Urbana-Champaign
A proof of Askey-Wilson relations for Leonard pairs.
Raimundas Vidunas*, University of Antwerp
The pseudo cosine sequences of a distance-regular graph.
A A Pascasio*, De La Salle University
Paul M Terwilliger, University of Wisconsin
On the Generalized Rogers--Ramanujan Continued Fraction.
Bruce C. Berndt*, University of Illinois at Urbana-Champaign
Ae Ja Yee, University of Illinois at Urbana-Champaign
An indeterminate moment problem involving the Al-Salam--Chihara
polynomials.
Jacob Stordal Christiansen*, University of Copenhagen
Mourad E. H. Ismail, University of South Florida
Zeta Functions of Graphs: When Number Theory Meets Graph Theory.
Audrey A. Terras*, U.C.S.D.
Eigenvalue and Dual Eigenvalue Sequences for Three Mutually
Adjacent Leonard Pairs.
Brian L Hartwig*, University of Wisconsin
A transformation on the space of rational functions.
Victor H Moll*, Department of Mathematics, Tulane University
On Ramanujan's Continued Fraction for
$(q^2;q^3)_{\infty}/(q;q^3)_{\infty}$.
George E Andrews, Pennsylvania State University
Bruce C Berndt, University of Illinois
Jaebum Sohn*, Ohio State University
Ae Ja Yee, University of Illinois
Alexandru Zaharescu, University of Illinois
Sign Variations on the Macdonald Identities.
David M Bressoud*, Macalester College
New Ramanujan-Kolberg Type Partition Identities.
Heekyoung Hahn*, UIUC
Heng Huat Chan, National University of Singapore
Richard P Lewis, University of Sussex
Siew Lian Tan, Singapore
Asymptotics of Krawtchouk polynomials and the covering radius of
linear codes.
A. Ashikhmin, Bell Labs, Lucent Technologies
A. Barg*, Bell Labs, Lucent Technologies
Determinants of Period Matrices and Applications to
Multidimensional Beta Integrals.
Qifu Zheng*, The College of New Jersey
Some derivative identities and applications.
Warren P Johnson*, Bates College
Generalized Frobenius partitions with $k$ colors and Generalized
Frobenius partitions with $k$ repetitions.
Ae Ja Yee*, University of Illinois at Urbana-Champaign
Sieved q-binomial coefficients.
Dennis Stanton*, University of Minnesota
Dennis White, University of Minnesota
Quantum supergroup and q-polynomials.
Yi Ming Zou*, University of Wisconsin-Milwaukee
Pseudo primitive idempotents and almost 2-homogeneous bipartite
distance-regular graphs.
Michael S Lang*, University of Wisconsin -- La Crosse
Elliptic hypergeometric series on root systems.
Hjalmar Rosengren*, Chalmers University
Askey-Wilson type functions, with bound states.
Luc N. Haine*, University of Louvain
Plamen I. Iliev, University of California at Berkeley
The $q$-Difference Operator and the Rogers-Ramanujan Identities.
George E. Andrews*, Penn State University
Topic #3 ------------ OP-SF NET 9.5 ------------- September 15, 2002
~~~~~~~~~~~~~
From: Tom Koornwinder
Subject: New book on Hilbert space, boundary value problems and orthogonal
Polynomials
From: http://www.birkhauser.ch/books/math/6701.htm
A.M. Krall,
Hilbert space, boundary value problems and orthogonal Polynomials,
Birkhauser, 2002.
368 pages, Hardcover, Euro 128.-, Swiss Francs 192.-; ISBN 3-7643-6701-6
This monograph consists of three parts: the abstract theory of Hilbert
spaces, leading up to the spectral theory of unbounded self-adjoined
operators; the application to linear Hamiltonian systems, giving the
details of the spectral resolution; and further applications such as to
orthogonal polynomials and Sobolev differential operators.
Written in textbook style this up-to-date volume is geared towards graduate
and postgraduate students and researchers interested in boundary value
problems of linear differential equations or in orthogonal polynomials.
Topic #4 ------------ OP-SF NET 9.5 ------------ September 15, 2002
~~~~~~~~~~~~~
From: Joanna Littleton
Subject: Call for Nominations - The Peter Henrici Prize
Call for Nominations - The Peter Henrici Prize
The Peter Henrici Prize is awarded jointly by the Eidgenossische Technische
Hochschule Zurich (ETHZ) and the Society for Industrial and Applied
Mathematics (SIAM). The prize is awarded for original contributions to
applied analysis and numerical analysis and/or for exposition appropriate
for applied mathematics and scientific computing. The prize is intended to
recognize broad and extended contributions to these subjects, rather than a
single outstanding work.
The next award will be presented at the Fifth International Congress on
Industrial and Applied Mathematics (ICIAM 2003) in Sydney, Australia, 7-11
July 2003.
Eligibility
There are no restrictions on eligibility beyond those specified above.
Description of the Award
The award is to include a certificate containing the citation and a cash
prize of $2500 plus reasonable travel costs to attend the prize ceremony.
Selection Committee
The selection committee for the 2003 Henrici Prize consists of Germund
Dahlquist (KTH, Stockholm, Sweden), Gene H. Golub (Stanford University),
Martin Gutknecht, Chair (ETH Zurich), and Rolf Jeltsch (ETH Zurich).
Nominations
Nominations may be made by anyone, including members of the selection
committee. It is the responsibility of the nominator to provide all
relevant information to the selection committee, including a resume and any
letter(s) of support. In case his or her nominee will be chosen, the
nominator will also be asked to provide the draft of a citation of about
100 words that can be read at the award ceremony.
Letters of nomination should be sent by DECEMBER 1, 2002, to
Prof. Martin H. Gutknecht
Chair, Selection Committee for Peter Henrici Prize
c/o Allison Bogardo
Society for Industrial and Applied Mathematics
3600 University City Science Center
Philadelphia, PA 19104-2688
U.S.A.
Telephone: 215-382-9800
Fax: 215-386-7999
E-mail: bogardo@siam.org
or to
Prof. Martin H. Gutknecht
Seminar for Applied Mathematics
ETH-Zentrum, HG
CH-8092 Zurich
Switzerland
Telephone: (+41)(0)1-632-3464
Fax: (+41)(0)1-632-1104
E-mail: gutknecht@math.ethz.ch
For additional information see http://www.siam.org/prizes/henrici.htm
Topic #5 ------------ OP-SF NET 9.5 ------------- September 15, 2002
~~~~~~~~~~~~~
From: Allison Bogardo
Subject: 2003 SIAM Student Paper Prizes
The 2003 SIAM Student Paper Prizes will be presented at the First Joint
Meeting of CAIMS and SIAM, June 16-20, at the Queen Elizabeth Hotel in
Montreal, Canada. This meeting also will serve as SIAM's 2003 Annual
Meeting.
Up to three papers will be selected for the prizes.
Principal Guidelines
--------------------
The SIAM Student Paper Prizes are awarded every year to the
student author(s) of the most outstanding paper(s) submitted
to the SIAM Student Paper Competition. This award is based
solely on the merit and content of the student's
contribution to submitted paper.
The purpose of the Student Paper Prizes is to recognize
outstanding scholarship by students in applied mathematics
or computing.
Selection Procedures
--------------------
Eligibility
Eligibility is restricted to students in good standing who
have not received their Ph.D. at the time of submitting
their entry or who have completed their degree within one
year of submission of their entry.
Submissions may be based on co-authored papers, provided
that the student's advisor will attest that the student's
work played a pivotal role in the results. A letter from
the student's advisor or department chair must accompany
each entry to verify these conditions.
To enter the competition, a student must submit: (1) an
extended abstract in English of a paper, and (2) a short
biography. The total length of the submitted abstract
(including bibliography) may not exceed five pages. The
student also must submit the complete paper, which will be
used for clarification of any questions the selection
committee may have on the extended abstract. In addition,
the student's advisor or an interested faculty member must
submit a letter describing and evaluating the paper's
contribution to the literature, and the student's role in
the scholarship.
For the 2003 award, all papers and accompanying
documentation must be received at the SIAM office by
February 16, 2003.
Notification of Prize Winner
----------------------------
The SIAM president will notify the recipient(s) at least six
weeks before the award date.
Each recipient is required to present his or her paper at
the meeting where the prizes are awarded; if attending
the meeting poses a serious hardship, an exception may be
granted by the SIAM president.
Description of the Award
------------------------
Each recipient of the SIAM Student Paper Prize shall receive
a framed certificate and a cash award of $1,000, plus $500 toward
travel expenses.
Please direct your submission and any questions you may have to
A. Bogardo at SIAM, 3600 University City Science Center,
Philadelphia, PA 19104-2688; telephone (215) 382-9800; e-mail to
bogardo@siam.org.
Topic #6 ------------ OP-SF NET 9.5 ------------- September 15, 2002
~~~~~~~~~~~~~
From: OPSF NET Editor
Subject: Preprints in xxx Archive
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 the xxx archives. 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
math.CO/0207030
Title: The Bailey lemma and Kostka polynomials
Authors: S. Ole Warnaar
Comments: 39 pages, AMS-LaTeX
Subj-class: Combinatorics; Quantum Algebra
MSC-class: Primary 05A19, 05E05, 11B65; Secondary 17B65, 33D15
math.CA/0207046
Title: Elliptic hypergeometric series on root systems
Authors: Hjalmar Rosengren
Comments: 27 pages
Subj-class: Classical Analysis; Quantum Algebra
MSC-class: 33D67; 11F50
math.CA/0207122
Title: Symmetric Functions and B_N-invariant Spherical Harmonics
Authors: Charles F. Dunkl
Comments: 22 pages
Subj-class: Classical Analysis; Combinatorics
MSC-class: 33C55, 05E05, 81Q05, 82D25
math.QA/0207159
Title: Fusion and exchange matrices for quantized sl(2) and associated
q-special functions
Authors: T.H. Koornwinder, N. Touhami
Comments: 39 pages
Subj-class: Quantum Algebra; Classical Analysis
MSC-class: 17B37, 33D80
math.CO/0207175
Title: My Favorite Integer Sequences
Authors: N.J.A. Sloane
Comments: 27 pages, 13 figures
Subj-class: Combinatorics; Number Theory
MSC-class: 05-01, 11-01, 40-01
Journal-ref: Sequences and their Applications (Proceedings of
SETA '98), C. Ding, T. Helleseth and H. Niederreiter (editors),
Springer-Verlag, London, 1999, pp. 103-130
math.CO/0207192
Title: 321-polygon-avoiding permutations and Chebyshev polynomials
Authors: T. Mansour, Z. Stankova
Comments: 11 pages, 1 figure
Subj-class: Combinatorics
math.KT/0207222
Title: Functional equations of higher logarithms
Authors: Herbert Gangl
Comments: 14 pages, final version, to appear in Selecta Mathematica
Subj-class: K-Theory and Homology
MSC-class: 11G55, 33E20, 39B32
math.NT/0207236
Title: Random matrix theory and discrete moments of the Riemann zeta
function
Authors: C.P. Hughes
Subj-class: Number Theory
math.NT/0207237
Title: A general statement of the functional equation for the Riemann
zeta-function
Authors: Luis Baez-Duarte
Comments: 3 pages
Subj-class: Number Theory; Complex Variables
math-ph/0207005
Title: Painlev\'e transcendent evaluations of finite system density
matrices for 1d impenetrable Bosons
Authors: P.J. Forrester, N.E. Frankel, T.M. Garoni, N.S. Witte
Comments: AMSLatex, requires Commun. Math. Phys. style macros
Subj-class: Mathematical Physics
MSC-class: 81Hxx;15A52;33E17
math-ph/0207019
Title: Cyclic identities involving Jacobi elliptic functions - II
Authors: Avinash Khare, Arul Lakshminarayan, Uday Sukhatme
Comments: 34 pages, no figures
Subj-class: Mathematical Physics; Exactly Solvable and Integrable
Systems
math-ph/0207022
Title: Exactly solvable periodic Darboux q-chains
Authors: Ivan A. Dynnikov, Sergey V. Smirnov
Comments: 3 pages, LaTeX, to appear in Russian Math. Surveys
Subj-class: Mathematical Physics
MSC-class: 39A12 (Primary) 39A70 (Secondary)
math-ph/0207028
Title: Associated Lame and various other new classes of elliptic
potentials from sl(2,R) and related orthogonal polynomials
Authors: Asish Ganguly
Comments: 34 pages, 4 tables, 1 figure, PDF file
Subj-class: Mathematical Physics
Journal-ref: Published in J. Math. Phys. 43,1980(2002)
math-ph/0207044
Title: Random matrix theory and the zeros of zeta'(s)
Authors: Francesco Mezzadri
Comments: 17 pages, 4 figures
Subj-class: Mathematical Physics; Number Theory
MSC-class: 15A52; 11M99
cond-mat/0207745
Title: Replica field theories, Painleve transcendents and exact
correlation functions
Authors: Eugene Kanzieper
Comments: 4 pages, revtex 4
Subj-class: Disordered Systems and Neural Networks; Mesoscopic Systems
and Quantum Hall Effect; Exactly Solvable and Integrable Systems;
Mathematical Physics
math.CO/0208046
Title: Permutations Which Avoid 1243 and 2143, Continued Fractions,
and Chebyshev Polynomials
Authors: Eric S. Egge, Toufik Mansour
Comments: 32 pages, 4 figures
Subj-class: Combinatorics
MSC-class: 05A05; 05A15
math.AG/0208097
Title: Intersection numbers of twisted cycles and the correlation
functions of the conformal field theory II
Authors: Katsuhisa Mimachi (Tokyo Inst Tech), Masaaki Yoshida
(Kyushu Univ)
Subj-class: Algebraic Geometry
MSC-class: 33C70;81T40
math.NT/0208220
Title: Linear statistics for zeros of Riemann's zeta function
Authors: C.P. Hughes, Z. Rudnick
Subj-class: Number Theory
math.CA/0208244
Title: Polynomial Solutions to Difference Equations Connected to
Painleve' II-VI
Authors: Gert Almkvist
Comments: AMS-LaTeX, 9 pages, no figures
Subj-class: Classical Analysis
MSC-class: 39A10
math-ph/0208006
Title: Factorization method for functional equations of second order
Authors: Anatol Odzijewicz, Tomasz Golinski
Comments: 19 pages
Subj-class: Mathematical Physics
nlin.SI/0208002
Title: Differential systems for biorthogonal polynomials appearing
in 2-matrix models and the associated Riemann-Hilbert problem
Authors: M. Bertola, B. Eynard, J. Harnad
Comments: v1:41 pages, 5 figures, 1 table. v2: Typos and other
errors corrected. v3: Some conceptual changes, added appendix and
two figures
v4: Minor typographical changes, improved figures.
v5: updated version (submitted) 49 pages, 7 figures, 1 table
Subj-class: Exactly Solvable and Integrable Systems; Classical
Analysis; Mathematical Physics
nlin.SI/0207036
Title: The Riemann-Hilbert Problem for the Bi-Orthogonal Polynomials
Authors: Andrei A. Kapaev (PDMI, St Petersburg)
Comments: LaTeX, 15 pages. In compare to the original version, the
derivation of the matrix wave function is simplified; some comments
and references are added
Subj-class: Exactly Solvable and Integrable Systems
nlin.CD/0208024
Title: Hierarchy of one and many-parameter families of elliptic
chaotic maps of cn and sn types
Authors: M.A. Jafarizadeh, S. Behnia
Comments: 14 pages, Latex
Subj-class: Chaotic Dynamics
Topic #7 ------------ OP-SF NET 9.5 ------------- September 15, 2002
~~~~~~~~~~~~~
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:
http://staff.science.uva.nl/~thk/opsfnet
http://www.math.ohio-state.edu/JAT/DATA/OPSFNET/opsfnet.html
http://math.nist.gov/opsfnet/archive
The NET provides fast turnaround compared to the printed Newsletter, also
sponsored by the Activity Group, and edited by Renato Alvarez-Nodarse and
Rafael Yanez. It appears three times a year and is mailed by SIAM. Back
issues are accessible at:
http://www.mathematik.uni-kassel.de/~koepf/siam.html
To receive the Newsletter, you must be a member of SIAM and of the Activity
Group. 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 #8 ------------ OP-SF NET 9.5 ------------- September 15, 2002
~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Submitting contributions to OP-SF NET and Newsletter
To contribute a news item to OP-SF NET, send email to poly@siam.org with a
copy to the OP-SF Editor . Please note that submissions
to the Net are automatically considered for the Newsletter, and vice versa,
unless the contributor requests otherwise.
Contributions to OP-SF NET 9.6 should be sent by November 1, 2002.
Please send your (printed) Newsletter contributions directly to the
Editors:
Renato Alvarez-Nodarse
Departamento de Analisis Matematico
Universidad de Sevilla
Apdo. Postal 1160,
Sevilla E-41080 Spain
fax: +34-95-455-7972
e-mail: ran@us.es
Rafael J. Yanez
Departamento de Matematica Aplicada
Universidad de Granada
E-18071 Granada, Spain
phone: +34-58-242941
fax: +34-58-242862
e-mail: ryanez@ugr.es
preferably by email, and in latex format. Other formats are also acceptable
and can be submitted by email, regular mail or fax.
The deadline for submissions to be included in the October 2002 issue is
September 15, 2002, and for the February 2003 issue is January 15, 2003.
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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
or to: listproc@nist.gov
Get back issues from URL: http://turing.wins.uva.nl/~thk/opsfnet/
WWW home page of this Activity Group:
http://math.nist.gov/opsf/
Information on joining SIAM
and this activity group: service@siam.org
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The elected Officers of the Activity Group (2002-2004) are:
Daniel W. Lozier, Chair
Walter Van Assche, Vice Chair
Peter Clarkson, Secretary
Francisco Marcellan, Program Director
The appointed officers are:
Renato Alvarez-Nodarse and Rafael J. Yanez,
Newsletter Editors
Martin Muldoon, OP-SF NET editor
Bonita Saunders, Webmaster
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