ABSTRACT
In the present Paper, we derive three new and interesting expressions for the composition of two most general fractional integral operators whose kernels involve the product of a Appell Polynomial, Fox H-function and S-Generalized Gauss’s Hypergeometric Function. The operators of our study are quite general in nature and may be considered as extensions of a number of simpler fractional integral operators studied from time to time by several authors. By suitable specializing the coefficients and the parameters in these functions we can get a large number
of (new and known) interesting expressions for the composition of fractional integral operators involving simpler special functions. The results obtained by Erdélyi [2], Goyal and Jain [11] follow as simple cases of our composition formulae.
