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OALib Journal期刊
ISSN: 2333-9721
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Marichev-Saigo-Maeda fractional integration operators of the Bassel functions

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

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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.

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