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Two integral transform pairs involving hypergeometric functions
Journal article   Open access

Two integral transform pairs involving hypergeometric functions

Jet Wimp
Proceedings of the Glasgow Mathematical Association, v 7(1), pp 42-44
Jan 1965
url
https://doi.org/10.1017/S2040618500035164View
Published, Version of Record (VoR) Open

Abstract

In this note, we first establish an integral transform pair where the kernel of each integral involves the Gaussian hypergeometric function. Special cases of Theorem 1 have been studied by several authors [1, 2, 5, 6]. In Theorem 2 a similar integral transform pair involving a confluent hypergeometric function is given.

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