A note on generating relations for Lauricella’s function of several variables

Shukla, D. P.

doi:10.1090/S0002-9939-1979-0516464-8

A note on generating relations for Lauricella’s function of several variables
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by D. P. Shukla PDF

Proc. Amer. Math. Soc. 73 (1979), 199-206 Request permission

Abstract:

In this paper we have derived generating relations for Lauricella’s function by using the operator ${T_k} = x(k + xD)$ and the operational relations involving this operator. Some recent results of Srivastava [3], Srivastava and Carlitz [4], Sharma and Abiodun [1] have been conveniently obtained by this method as well as some hitherto unknown results established.

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