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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

A note on Henrici's triple product theorem


Authors: Per W. Karlsson and H. M. Srivastava
Journal: Proc. Amer. Math. Soc. 110 (1990), 85-88
MSC: Primary 33A30
MathSciNet review: 1010802
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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.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1990-1010802-2
PII: S 0002-9939(1990)1010802-2
Keywords: Hypergeometric functions, Chu-Vandermonde theorem, Appell functions, triple series identity, quadratic and cubic transformations, Pochhammer symbol
Article copyright: © Copyright 1990 American Mathematical Society