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Browsing by Author "Srivastava, Gautam"

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    The Marichev-Saigo Fractional-Calculus Operators Involving the (p,q)-Extended Bessel and Bessel-Wright Functions
    (Mdpi, 2021) AbuJarad, Eman S. A.; Jarad, Fahd; Srivastava, Gautam; AbuJarad, Mohammed H. A.; Srivastava, Hari M.
    The goal of this article is to establish several new formulas and new results related to the Marichev-Saigo-Maeda fractional integral and fractional derivative operators which are applied on the (p,q)-extended Bessel function. The results are expressed as the Hadamard product of the (p,q)-extended Gauss hypergeometric function Fp,q and the Fox-Wright function r psi s(z). Some special cases of our main results are considered. Furthermore, the (p,q)-extended Bessel-Wright function is introduced. Finally, a variety of formulas for the Marichev-Saigo-Maeda fractional integral and derivative operators involving the (p,q)-extended Bessel-Wright function is established.