Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

$(n+1,m+1)$-hypergeometric functions associated to character algebras


Authors: Hiroshi Mizukawa and Hajime Tanaka
Journal: Proc. Amer. Math. Soc. 132 (2004), 2613-2618
MSC (2000): Primary 33C45, 05E35; Secondary 05E99
Published electronically: March 25, 2004
MathSciNet review: 2054786
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: In this paper, we obtain certain discrete orthogonal polynomials expressed in terms of the $(d+1,2(d+1))$-hypergeometric functions, from the eigenmatrices of character algebras.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 33C45, 05E35, 05E99

Retrieve articles in all journals with MSC (2000): 33C45, 05E35, 05E99


Additional Information

Hiroshi Mizukawa
Affiliation: Division of Mathematics, Graduate School of Science, Hokkaido University, Sapporo, 060-0810, Japan
Address at time of publication: Department of Mathematics, National Defense Academy in Japan, Yokosuka 239-8686, Japan

Hajime Tanaka
Affiliation: Graduate School of Mathematics, Kyushu University, Fukuoka, 812-8581, Japan
Address at time of publication: Graduate School of Information Sciences, Tohoku University, 09 Aramaki-Aza-Aoba, Aobaku, Sendai 980-8579, Japan
Email: htanaka@math.kyushu-u.ac.jp

DOI: http://dx.doi.org/10.1090/S0002-9939-04-07399-X
PII: S 0002-9939(04)07399-X
Keywords: Hypergeometric functions, character algebras, eigenmatrices.
Received by editor(s): January 10, 2003
Received by editor(s) in revised form: May 26, 2003
Published electronically: March 25, 2004
Additional Notes: The second author is supported in part by a grant from the Japan Society for the Promotion of Science.
Communicated by: John R. Stembridge
Article copyright: © Copyright 2004 American Mathematical Society