Fractional Differentiations and Integrations of Quadruple Hypergeometric Series
Commun. Korean Math. Soc.
Published online April 8, 2021
Maged G. Bin-Saad, Kottakkaran Sooppy Nisar, and Jihad A. Younis
Aden University, Prince Sattam Bin Abdul Aziz University
Abstract : The hypergeometric series of four variables are introduced and studied by Bin-Saad and Younis recently. In this line, we derive several fractional derivative formulas, integral representations and operational formulas for new quadruple hypergeometric series.
Keywords : Quadruple hypergeometric functions, Euler integrals, integrals of Laplace-type, fractional derivative formulas, inverse pairs of symbolic operators, triple hypergeometric functions.
MSC numbers : 33C20, 33C65, 44A45
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