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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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A new result for hypergeometric polynomials
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by Kung-Yu Chen and H. M. Srivastava PDF
Proc. Amer. Math. Soc. 133 (2005), 3295-3302 Request permission

Abstract:

In some recent investigations involving differential operators for generalized Laguerre polynomials, Herman Bavinck (1996) encountered and proved a certain summation formula for the classical Laguerre polynomials. The main object of this sequel to Bavinck’s work is to prove a generalization of this summation formula for a class of hypergeometric polynomials. The demonstration, which is presented here in the general case, differs markedly from the earlier proof given for the known special case. The general summation formula is also applied to derive the corresponding result for the classical Jacobi polynomials.
References
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Additional Information
  • Kung-Yu Chen
  • Affiliation: Department of Mathematics, Tamkang University, Tamsui 25137, Taiwan, Republic of China
  • Email: kychen@math.tku.edu.tw
  • H. M. Srivastava
  • Affiliation: Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3P4, Canada
  • Email: harimsri@math.uvic.ca
  • Received by editor(s): February 26, 2004
  • Received by editor(s) in revised form: June 15, 2004
  • Published electronically: May 4, 2005
  • Communicated by: Carmen C. Chicone
  • © Copyright 2005 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 133 (2005), 3295-3302
  • MSC (2000): Primary 33C05, 33C45; Secondary 11B73
  • DOI: https://doi.org/10.1090/S0002-9939-05-07895-0
  • MathSciNet review: 2161152