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Proceedings of the American Mathematical Society

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


Author: D. P. Shukla
Journal: Proc. Amer. Math. Soc. 73 (1979), 199-206
MSC: Primary 33A30
DOI: https://doi.org/10.1090/S0002-9939-1979-0516464-8
MathSciNet review: 516464
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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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DOI: https://doi.org/10.1090/S0002-9939-1979-0516464-8
Keywords: Lauricella's functions of several variables, generating relations
Article copyright: © Copyright 1979 American Mathematical Society