FW: OP-SF Net Volume 11, Number 4



OPSF Members: I apologize for the delay and the wrapped lines.

Dan Lozier, Chair, OPSF Activity Group

-----Original Message-----
From: mailer@siam.org [mailto:mailer@siam.org]
Sent: Wednesday, July 21, 2004 9:13 AM
Subject: OP-SF Net Volume 11, Number 4






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                                                 July 15, 2004

       O P - S F   N E T                   Volume 11, Number 4
       ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
       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. Open PhD student position
      2. Preprints in arXiv.org
      3. About the Activity Group
      4. Submitting contributions to OP-SF NET


Calendar of Events:

2004

July 8 - July 18: Fifth Summer School on Orthogonal Polynomials and
   Special Functions, Universidad Carlos III de Madrid, Leganes, Spain
                                                                  10.6
#4
http://www.uc3m.es/uc3m/dpto/MATEM/summerschool/indice.html

July 12-16: SIAM Annual Meeting, Portland, Oregon, USA
http://www.siam.org/meetings/an04/

July 10-23: Special Functions in Harmonic Analysis and Applications,
                  Kloster Irsee, Germany               11.1 #4, 11.2 #4
http://ibb.gsf.de/~irsee

August 2-4: Conference on "Combinatorics, Special Functions and Physics"
        in honor of the 75th birthday of James D. Louck,
        Tianjin, China                                         11.2 #2
http://www.combinatorics.net/louck75/

August 2-6: XXV International Colloquium on Group Theoretical
         Methods in Physics, Cocoyoc, México                   11.2 #3
http://www.group25.unam.mx

August 23-26:  Workshop on Harmonic Analysis and Homogeneous Spaces,
         Leiden, The Netherlands                               11.3 #1
http://www.lc.leidenuniv.nl/lc/web/2004/20040823/info.php3?wsid=122

November 7-9: CONSTRUCTIVE FUNCTIONS TECH-O4,  Atlanta, Georgia, USA
                                                               10.5 #3
www.math.gatech.edu/news/conferences/at04/

2005
July 11-15: SIAM Annual Meeting, New Orleans, Louisiana, USA
http://www.siam.org/meetings/AN05/

July 25-29: OPSFA8/ICDEA10 - Eighth International Symposium on
     Orthogonal Polynomials, Special Functions and Applications
     and Tenth International Conference on Difference Equations and
     Applications, Munich, Germany                               10.6 #3

Future Plans:
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. Present planning
suggests a date in the fall
of 2005 or in 2006.



Topic #1  ------------   OP-SF NET 11.4   -------------   July 15, 2004
                         ~~~~~~~~~~~~~~
From: Michael Schlosser <schlosse@ap.univie.ac.at>
Subject: Open PhD student position

Michael Schlosser at the University of Vienna is looking for a PhD
student whom he could provide
full employment, up to 28 months, through his new FWF (Austrian Science
Funds) project 'Macdonald
polynomials and basic hypergeometric series'. The starting date of this
pure research position is
August 1, 2004, or some later agreeable date. An ideal candidate would
be an EC national having
some prior knowledge in q-series, symmetric functions, special
functions, algebra and/or representation
theory. Further desirable (but not necessary) are basic programming
skills in some computer algebra
program. If interested, please write to Michael Schlosser at
schlosse@ap.univie.ac.at



Topic #2  ------------   OP-SF NET 11.4   -------------   July 15, 2004
                         ~~~~~~~~~~~~~~
From: OP-SF NET Editor <muldoon@yorku.ca>
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://www.arXiv.org/abs/math.CA/0405050
Title: Another proofs of the geometrical forms of Paley-Wiener theorems
     for the Dunkl transform and inversion formulas for the Dunkl
     interwining operator and for its dual
     Authors: Khalifa Trimeche
     Comments: 23 pages
     Subj-class: Classical Analysis and ODEs
     MSC-class: 33C80,43A32,44A35,51F15

http://www.arXiv.org/abs/math.QA/0405072
Title: Sklyanin invariant integration
     Authors: Hjalmar Rosengren
     Comments: 21 pages
     Subj-class: Quantum Algebra; Classical Analysis and ODEs
     MSC-class: 11F50; 17B37; 33D80

http://www.arXiv.org/abs/math.SP/0405111
Title: Orthogonal polynomials on the unit circle: New results
     Authors: Barry Simon
     Subj-class: Spectral Theory
     MSC-class: 42C05, 47B35

http://www.arXiv.org/abs/math.NT/0405162
Title: Representation of the Gauss hypergeometric function by multiple
     polylogarithms and relations of multiple zeta values
     Authors: Shu Oi
     Subj-class: Number Theory; Classical Analysis and ODEs; Quantum
        Algebra
     MSC-class: 11M06; 40B05; 33C05

http://www.arXiv.org/abs/math.CV/0405259
Title: Singularities of Nonconfluent Hypergeometric Functions in Several
     Variables
     Authors: Mikael Passare, Timur Sadykov, August Tsikh
     Comments: 30 pages, 7 figures
     Subj-class: Complex Variables; Analysis of PDEs
     MSC-class: 32A20; 33C70

http://www.arXiv.org/abs/math.CA/0405308
Title: On the algebraic solutions of the sixth Painlev\'e equation
     related to second order Picard-Fuchs equations
     Authors: Bassem Ben Hamed, Lubomir Gavrilov
     Comments: 9 pages
     Subj-class: Classical Analysis and ODEs
     MSC-class: 32G34; 34M55

http://www.arXiv.org/abs/math.CA/0405309
Title: Lower-upper triangular decompositions, q=0 limits, and p-adic
     interpretations of some q-hypergeometric orthogonal polynomials
     Authors: Tom H. Koornwinder, Uri Onn
     Comments: 24 pages
     Subj-class: Classical Analysis and ODEs; Representation Theory
     MSC-class: 33D45; 33D80

http://www.arXiv.org/abs/math.NA/0405316
Title: Alternative Orthogonal Polynomials
     Authors: Vladimir Chelyshkov
     Comments: 5 pages
     Subj-class: Numerical Analysis; Classical Analysis and ODEs
     MSC-class: 33C45

http://www.arXiv.org/abs/math.QA/0405331
Title: Asymptotics of q-difference equations
     Authors: Stavros Garoufalidis, Jeff Geronimo
     Comments: 25 pages, 4 figures
     Subj-class: Quantum Algebra; Geometric Topology
     MSC-class: 57N10, 57M25

http://www.arXiv.org/abs/math.CA/0405368
Title: Positivity of Dunkl's intertwining operator via the trigonometric
     setting
     Authors: Margit Rösler, Michael Voit
     Comments: 7 pages
     Subj-class: Classical Analysis and ODEs; Representation Theory
     MSC-class: 33C52, 33C67

http://www.arXiv.org/abs/math.AG/0405399
Title: Transform\'ee de Mellin des int\'egrales- fibres associ\'ees \`a
     l'intersection compl\`ete non-d\'eg\'en\'er\'ee
     Authors: Susumu Tanabé
     Comments: 46 pages
     Subj-class: Algebraic Geometry; Classical Analysis and ODEs
     MSC-class: 33C70, 14M25, 14J32

http://www.arXiv.org/abs/math.QA/0405402
Title: q,k-generalized gamma and beta functions
     Authors: Rafael Diaz, Carolina Teruel
     Comments: 17 pages
     Subj-class: Quantum Algebra

http://www.arXiv.org/abs/math.CA/0405559
Title: Hierarchy of B\"acklund Transformation Groups of the Painlev\'e
     Systems
     Authors: Masaki Suzuki, Nobuhiko Tahara, Kyoichi Takano
     Comments: 11 pages, to be published in J. Math. Soc. Japan
     Subj-class: Classical Analysis and ODEs
     MSC-class: 34M55 (Primary) 37K35 (Secondary)

http://www.arXiv.org/abs/math.CA/0405592
Title: Markov's Transformation of Series and the WZ Method
     Authors: Margo Kondratieva, Sergey Sadov
     Comments: 13 pages
     Subj-class: Classical Analysis and ODEs; History and Overview
     MSC-class: 33F10; 01A55

http://www.arXiv.org/abs/math.CO/0405594
Title: Inversions relating Stirling, tanh, Lah numbers and an
     application to Mathematical Statistics
     Authors: G. Della Riccia
     Comments: 11 pages
     Subj-class: Combinatorics
     MSC-class: 05A19, 05A10 (Primary); 60E10, 05A15 (Secondary)

http://www.arXiv.org/abs/math.CA/0405596
Title: On hypergeometric functions and Pochhammer $k$-symbol
     Authors: Rafael Diaz, Eddy Pariguan
     Comments: 16 pages, 3 figures
     Subj-class: Classical Analysis and ODEs

http://www.arXiv.org/abs/math.CA/0406049
Title: Some remarks on another proof of geometrical Paley-Wiener
     theorems for the Dunkl transform
     Authors: Marcel de Jeu
     Comments: LaTeX, 2 pages
     Subj-class: Classical Analysis and ODEs; Representation Theory
     MSC-class: 33C52; 33C67

http://www.arXiv.org/abs/math.QA/0406060
Title: A Kato-Lusztig formula for nonsymmetric Macdonald polynomials
     Authors: Bogdan Ion
     Comments: 28 pg
     Subj-class: Quantum Algebra; Representation Theory

http://www.arxiv.org/abs/math.NT/0406235
Title: Some considerations in connection with Kurepa's function
     Authors: Branko J. Malesevic
     Comments: 11 pages
     Subj-class: Number Theory; Complex Variables
     MSC-class: 30E20; 11J91
     Journal-ref: Univ. Beograd. Publ. Elektrotehn. Fak., Ser. Mat. 14
       (2003), 30-40

http://www.arxiv.org/abs/math.NT/0406236
Title: Some considerations in connection with alternating Kurepa's
function
     Authors: Branko J. Malesevic
     Comments: 9 pages
     Subj-class: Number Theory; Complex Variables
     MSC-class: 30E20; 11J91

http://www.arxiv.org/abs/math.NA/0406263
Title: Application of the Wavelet Transform with a Piecewise Linear
     Basis to the Evaluation of the Hankel Transform
     Authors: P. S. Zykov, E. B. Postnikov
     Subj-class: Numerical Analysis; Mathematical Physics
     MSC-class: 44A15; 65R10
     Journal-ref: Comp. Math. and Math. Phys., Vol. 44, No. 3, 2004, pp.
           396-400

http://www.arxiv.org/abs/math.AG/0406281
Title: The fifty-two icosahedral solutions to Painleve VI
     Authors: Philip Boalch
     Comments: 17 pages, 1 table
     Subj-class: Algebraic Geometry; Mathematical Physics; Exactly
         Solvable and Integrable Systems

http://www.arxiv.org/abs/math.CV/0406306
Title: Beta and Gamma functions of Cayley-Dickson numbers
     Authors: S.V. Ludkovsky
     Comments: 11 pages
     Subj-class: Complex Variables; Rings and Algebras
     MSC-class: 30G35; 17A70

http://www.arxiv.org/abs/math.NT/0406307
Title: Algebraic properties of a family of Generalized Laguerre
Polynomials
     Authors: Farshid Hajir
     Comments: 19 pages
     Subj-class: Number Theory
     MSC-class: 11R09; 11R32

http://www.arxiv.org/abs/math.NT/0406308
Title: On the Galois group of Generalized Laguerre Polynomials
     Authors: Farshid Hajir
     Comments: 6 pages
     Subj-class: Number Theory
     MSC-class: 11R32; 11R09

http://www.arxiv.org/abs/math.NT/0406312
Title: An Explicit Formula Relating Stieltjes Constants and Li's Numbers
     Authors: Krzysztof Maslanka
     Comments: 5 pages, 1 figure
     Subj-class: Number Theory; Numerical Analysis
     MSC-class: 11M26

http://www.arxiv.org/abs/math.CO/0406323
Title: Some formulae for bivariate Fibonacci and Lucas polynomials
     Authors: Mario Catalani
     Subj-class: Combinatorics
     MSC-class: 11B39

http://www.arxiv.org/abs/math.CO/0406328
Title: On some $q$-identities related to divisor functions
     Authors: Jiang Zeng
     Comments: To appear in Adv. in Appl. Math
     Subj-class: Combinatorics
     MSC-class: O5A05; 05E05

http://www.arxiv.org/abs/math.CA/0406337
Title: A Series Expansion for Integral Powers of Arctangent
     Authors: Michael Milgram
     Comments: 11 pages
     Subj-class: Classical Analysis and ODEs; Complex Variables
     MSC-class: 26A09, 33B10, 33C05

http://www.arxiv.org/abs/math.CA/0406338
Title: On Some Sums of Digamma and Polygamma functions
     Authors: Michael Milgram
     Comments: 20 pages
     Subj-class: Classical Analysis and ODEs; Complex Variables
     MSC-class: 33B15, 33C20 (Primary) 30-02, 30B99,33-02,40-02,40C99
      (Secondary)

http://www.arxiv.org/abs/math.CO/0406378
Title: Combinatorial proofs of inverse relations and log-concavity for
     Bessel numbers
     Authors: Hyuk Han, Seunghyun Seo
     Comments: 9 pages, 4 figures
     Subj-class: Combinatorics
     MSC-class: 05A15 (Primary) 05A19, 05A20, 05C70 (Secondary)

http://www.arxiv.org/abs/math.SP/0406395
Title: On location of discrete spectrum for complex Jacobi matrices
     Authors: I. Egorova, L. Golinskii (Institute for Low Temperature
       Physics, Kharkiv, Ukraine)
     Comments: LaTeX, 7 pages
     Subj-class: Spectral Theory
     MSC-class: 47B36; 47A10; 47A55

http://www.arxiv.org/abs/math.CA/0406401
Title: Integrals of polylogarithmic functions, recurrence relations, and
     associated Euler sums
     Authors: P. Freitas
     Comments: 17 pages
     Subj-class: Classical Analysis and ODEs
     MSC-class: 33E20; 11M41

http://www.arxiv.org/abs/math.CA/0406484
Title: The dbar steepest descent method and the asymptotic behavior of
     polynomials orthogonal on the unit circle with fixed and
     exponentially varying nonanalytic weights
     Authors: K. T.-R. McLaughlin, P. D. Miller
     Comments: Visit the website for this paper:
http://www.math.lsa.umich.edu/~millerpd/ResearchAndPublications/CP.html
     Subj-class: Classical Analysis and ODEs; Complex Variables
     MSC-class: 35Q15; 42C05; 30C15

http://www.arxiv.org/abs/math.CA/0406616
Title: Integral representations for multiple Hermite and multiple
     Laguerre polynomials
     Authors: Pavel M. Bleher, Arno B.J. Kuijlaars
     Comments: 12 pages
     Subj-class: Classical Analysis and ODEs; Mathematical Physics
     MSC-class: 30E20; 42C05

http://www.arxiv.org/abs/math.CO/0406620
Title: The method of characteristics, and "problem 89" of Graham, Knuth
     and Patashnik
     Authors: Herbert S. Wilf
     Subj-class: Combinatorics
     MSC-class: 05A10

http://www.arxiv.org/abs/math-ph/0406007
Title: Sum Rules for Jacobi Matrices and Divergent Lieb-Thirring Sums
     Authors: Andrej Zlatos
     Subj-class: Mathematical Physics
     MSC-class: 47B36; 34L15

http://www.arxiv.org/abs/math-ph/0406042
Title: Hypergeometric Generating Function of L-function, Slater's
     Identities, and Quantum Invariant
     Authors: Kazuhiro Hikami, Anatol N. Kirillov
     Comments: 18 pages
     Subj-class: Mathematical Physics

http://www.arxiv.org/abs/math-ph/0406049
Title: Astrophysical Thermonuclear Functions for Boltzmann-Gibbs
     Statistics and Tsallis Statistics
     Authors: R.K. Saxena, A.M. Mathai, H.J. Haubold
     Comments: 10 pages, LaTeX
     Subj-class: Mathematical Physics; Classical Analysis and ODEs
     MSC-class: 33C20 (Primary), 33C90 (Secondary)



Topic #3  ------------   OP-SF NET 11.4   -------------   July 15, 2004
                         ~~~~~~~~~~~~~~
From: OP-SF NET Editor <muldoon@yorku.ca>
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

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 #4  ------------   OP-SF NET 11.4   -------------   July 15, 2004
                         ~~~~~~~~~~~~~~
From: OP-SF NET Editor <muldoon@yorku.ca>
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 <muldoon@yorku.ca>.

Contributions to OP-SF NET 11.5 should be sent by September 1, 2004.

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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
   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
   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:
               Rafael J. Yanez, Newsletter Editor
               Martin Muldoon, OP-SF NET editor
               Bonita Saunders, Webmaster



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