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Integral representations of generalized Lauricella hypergeometric functions. (English) Zbl 0876.33010

A generalized Lauricella function of several variables was introduced by H. M. Srivastava and M. C. Daoust [Indagationes Math. 31, 449-457 (1969; Zbl 0185.29803)]. New integral representations for this function and for the Lauricella functions \(F_A^{(n)}, F_C^{(n)}\), \(F_D^{(n)}\) are obtained, with the help of a result on Mellin transforms, under suitable restrictions on the parameters, and integral representations for Appell functions \(F_1\), \(F_2\) and \(F_4\) are deduced from the last three.

MSC:

33C65 Appell, Horn and Lauricella functions
44A30 Multiple integral transforms

Citations:

Zbl 0185.29803
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