Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2021; 36(3): 495-513

Online first article April 8, 2021      Printed July 31, 2021

https://doi.org/10.4134/CKMS.c200184

Copyright © The Korean Mathematical Society.

Fractional differentiations and integrations of quadruple hypergeometric series

Maged G. Bin-Saad, Kottakkaran S. Nisar, Jihad A. Younis

Aden University; 11991, Prince Sattam bin Abdulaziz University; Aden 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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