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Some new integral transforms with the generalized hypergeometric function

✍ Scribed by Ovcharenko, O. V.; Virchenko, N. O.

Book ID
115447028
Publisher
Taylor and Francis Group
Year
2011
Tongue
English
Weight
110 KB
Volume
22
Category
Article
ISSN
1065-2469

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πŸ“œ SIMILAR VOLUMES

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We deal with a class of integral transformations whose kernels contain the Clausenian hypergeometric function 3 F 2 (a 1 ; a 2 ; a 3 ; b 1 ; b 2 ; z). These transforms are deΓΏned in terms of integrals with respect to their parameters. It involves as particular cases the familiar Olevskii and general

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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 h