Certain Fractional Integral Operators and Extended Generalized Gauss Hypergeometric Functions

• Journal title : Kyungpook mathematical journal
• Volume 55, Issue 3,  2015, pp.695-703
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2015.55.3.695
Title & Authors
Certain Fractional Integral Operators and Extended Generalized Gauss Hypergeometric Functions
CHOI, JUNESANG; AGARWAL, PRAVEEN; JAIN, SILPI;

Abstract
Several interesting and useful extensions of some familiar special functions such as Beta and Gauss hypergeometric functions and their properties have, recently, been investigated by many authors. Motivated mainly by those earlier works, we establish some fractional integral formulas involving the extended generalized Gauss hypergeometric function by using certain general pair of fractional integral operators involving Gauss hypergeometric function $\small{_2F_1}$, Some interesting special cases of our main results are also considered.
Keywords
Gamma function;Beta function;Extended generalized beta functions;Generalized hypergeometric functions;Extended generalized Gauss hypergeometric functions;Fractional integral operators;
Language
English
Cited by
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