MMN-1503
The incomplete Srivastava's triple hypergeometric functions $\gamma_{A}^{H}$ and $\Gamma_{A}^{H}$
Junesang Choi; Rakesh K. Parmar;Abstract
Motivated mainly by certain interesting recent extensions of the generalized hypergeometric function \cite{Sr-Ch-Ag}, the second Appell function \cite{Cent} and Srivastava's triple hypergeometric functions \cite{Ch-Pa-Ch}, we introduce here the family of incomplete Srivastava's triple hypergeometric functions $\gamma_{A}^{H}$ and $\Gamma_{A}^{H}$. We then systematically investigate several properties of each of these incomplete Srivastava's triple hypergeometric functions including, for example, their various integral representations, transformation formula, reduction formula, derivative formula and recurrence relations. Various (known or new) special cases and consequences of the results presented here are also
considered.
Vol. 19 (2018), No. 1, pp. 191-200
DOI: 10.18514/MMN.2018.1503