Marichev-Saigo-Maeda fractional integration operators of the Bassel functions

Abstract

In this paper, we apply generalized operators of fractional integration involving Appell’s function F_3 (.) due to Marichev-Saigo-Maeda, to the Bessel function of first kind. The results are expressed in terms of generalized Wright function and hypergeometric functions _pF_q . Special cases involving this function are mentioned. Results given recently by Kilbas and Sebastian follow as special cases of the theorems establish here.

Keywords

• Marichev-Saigo-Maeda fractional integral operators
• Bessel function of first kind
• Generalized Wright function
• Generalized hypergeometric series
• Cosine and Sine functions.