Some Properties of New Hypergeometric Functions in Four Variables


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Authors: M. G. BIN-SAAD, J. A. YOUNIS AND K. S. NISAR

DOI: 10.46793/KgJMat2401.145BS

Abstract:

In this paper, we introduce ten new quadruple hypergeometric series. We also obtain their various properties such that integral representations, fractional derivatives, N-fractional connections, operational relations and generating functions.



Keywords:

Gamma functions, Laplace-type integrals, fractional derivatives, N-fractional operator, operational relations, generating fnctions, Exton’s functions, quadruple hypergeometric series.



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