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- Title
Certain Fractional Integral Operators and Extended Generalized Gauss Hypergeometric Functions.
- Authors
JUNESANG CHOI; AGARWAL, PRAVEEN; JAIN, SHILPI
- 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 2F1, Some interesting special cases of our main results are also considered.
- Subjects
INTEGRAL operators; HYPERGEOMETRIC functions; GAUSS-Bonnet theorem; FRACTIONAL differential equations; OPERATOR theory
- Publication
Kyungpook Mathematical Journal, 2015, Vol 55, Issue 3, p695
- ISSN
1225-6951
- Publication type
Article
- DOI
10.5666/KMJ.2015.55.3.695