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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A note on Henrici’s triple product theorem
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by Per W. Karlsson and H. M. Srivastava
Proc. Amer. Math. Soc. 110 (1990), 85-88
DOI: https://doi.org/10.1090/S0002-9939-1990-1010802-2

Abstract:

Making use of certain known transformations in the theory of hypergeometric functions, the authors prove a general triple series identity which readily yields Henrici’s recent result expressing the product of three hypergeometric $_0{F_1}$ functions in terms of a hypergeometric $_2{F_7}$ function.
References
    W. N. Bailey, Products of generalized hypergeometric series, Proc. London Math. Soc. 28 (1928), 242-254.
  • Peter Henrici, A triple product theorem for hypergeometric series, SIAM J. Math. Anal. 18 (1987), no. 6, 1513–1518. MR 911645, DOI 10.1137/0518108
  • H. M. Srivastava and Per W. Karlsson, Multiple Gaussian hypergeometric series, Ellis Horwood Series: Mathematics and its Applications, Ellis Horwood Ltd., Chichester; Halsted Press [John Wiley & Sons, Inc.], New York, 1985. MR 834385
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Bibliographic Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 110 (1990), 85-88
  • MSC: Primary 33A30
  • DOI: https://doi.org/10.1090/S0002-9939-1990-1010802-2
  • MathSciNet review: 1010802