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

  • Sunil D. Purohit
  • Daya L. Suthar
  • Shiam L. Kalla
Keywords: Marichev-Saigo-Maeda fractional integral operators, Bessel function of first kind, Generalized Wright function, Generalized hypergeometric series, Cosine and Sine functions.


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.