TJMAS
On the Connections between Certain Class of New Quadruple and Known Triple Hypergeometric Series
Maged G. Bin-Saad,Jihad A. Younis
Keywords: Operational connections; Exton’s triple hypergeometric series; Lauricella’s triple hypergeometric functions; Srivastava’s triple hypergeometric functions; Quadruple hypergeometric series.
Abstract: We aim in this work at establishing interesting operational connections between new quadruple hypergeometric series defined in [9] and certain class of triple series involving of Exton’s functions X_1 to X_20, Srivastava's functions, Lauricella's functions and the general triple hypergeometric series. Some particular cases and consequences of our main results are also considered.
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