Some Generating Relations Involving Exton's Multiple Hypergeometric Functions (X2, X7, K9, K12, K13)

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Abstract

In this paper, using Laplace transform technique, we obtain some interesting generating relations associated with double hypergeometric function H4 of Horn, triple hypergeometric functions X2, X7 of Exton, FE, FG of Saran and quadruple hypergeometric functions K9, K12, K13 of Exton.

Keywords and Phrases

Exton's multiple hypergeometric functions, Laplace transform, Multiple Gaussian hypergeometric functions, Horn's functions.

A.M.S. subject classification

Primary: 33C05; Secondary: 33C65, 33C70, 44A10.

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