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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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$(n+1,m+1)$-hypergeometric functions associated to character algebras
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by Hiroshi Mizukawa and Hajime Tanaka PDF
Proc. Amer. Math. Soc. 132 (2004), 2613-2618 Request permission


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.
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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:
  • 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
  • © Copyright 2004 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 132 (2004), 2613-2618
  • MSC (2000): Primary 33C45, 05E35; Secondary 05E99
  • DOI:
  • MathSciNet review: 2054786