A note on Henrici’s triple product theorem
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- by Per W. Karlsson and H. M. Srivastava PDF
- Proc. Amer. Math. Soc. 110 (1990), 85-88 Request permission
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
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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
Additional 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