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http://dx.doi.org/10.4134/CKMS.c200184

FRACTIONAL DIFFERENTIATIONS AND INTEGRATIONS OF QUADRUPLE HYPERGEOMETRIC SERIES  

Bin-Saad, Maged G. (Department of Mathematics Aden University)
Nisar, Kottakkaran S. (Department of Mathematics College of Arts and Science-Wadi Aldawaser 11991, Prince Sattam bin Abdulaziz University)
Younis, Jihad A. (Department of Mathematics Aden University)
Publication Information
Communications of the Korean Mathematical Society / v.36, no.3, 2021 , pp. 495-513 More about this Journal
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;
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