Fractional integration of certain generalized functions

الملخص EN

The aim of the present paper is to derive a finite integral pertaining to a product of Gauss hypergeometric functions, two general class of polynomials with H -function.

In particular cases we have discussed the integration of product of a certain olass of Feynman integral with our main integral.

A large number of known and new results have been obtained by proper choice of parameter.

Application of the main result have also been disoussed with the Riemann-Liouville type of fractional integral operators.

The results derived here are basic in nature and they are likely to be of useful application in several fields notably Statistics, Probability and Electromagnetic theory.

2000 Mathematics Subject Classification: 44 A 10, 33 C 20, 26 A 33.

Keywords: Fractional integral, Feynman integrals, Gauss hypergeometric fiinction, General class of polynomials, H -ftmotion.