Generalized fractional integrals of product of two H-functions and a general class of polynomials

Abstract

The purpose of this paper is to compute two unified fractional integrals involving the product of two H-functions, a general class of polynomials and Appell function $F_3$. These integrals are further applied in proving two theorems on Saigo–Maeda fractional integral operators. Some consequent results and special cases are also pointed out in the concluding section.

Keywords:

• generalized fractional calculus operators
• H-function of several variables
• general class ofpolynomials
• Mittag–Leffler function

2010 AMS Subject Classifications:

• 26A33
• 33C45
• 33C60
• 33C70

Acknowledgments

The authors are thankful to the referee and the handling editor for a very careful reading and valuable suggestions. The second author (Dinesh Kumar) is grateful to NBHM (National Board of Higher Mathematics) India, for granting a Post-Doctoral Fellowship.

Disclosure statement

No potential conflict of interest was reported by the authors.

ORCID

S.D. Purohit http://orcid.org/0000-0001-5415-1777