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Generalized hypergeometric functions with integral parameter differences

✍ Scribed by H.M Srivastava

Publisher: Elsevier Science
Year: 1973
Weight: 126 KB
Volume: 76
Category: Article
ISSN: 1385-7258
DOI: 10.1016/1385-7258(73)90019-x

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✦ Synopsis

For a generalized hypergeometric function p El0 [z] with positive integral differences between certain numerator and denominator parameters, simple and direct proofs are given of a formula, of Per W. Karlsson [J. Math. Phys. 12, 270-271 (1971)] expressing this pFc[z] aa a finite sum of lower-order hypergeometric functions. ' = & (bz)r . . . (bq)k ti i?.

( -Tnl)j( -k)j , i Wlh *) Incidentally, Karlsson's reference to the contour integral (7) seems to be erroneous.

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