Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1647

 Title: Fractional Integration of the Product of Bessel Functions of the First Kind Authors: Kilbas, AnatolySebastian, Nicy Keywords: Fractional IntegralsBessel Function of the First KindGeneralized Hypergeometric SeriesGeneralized Lauricella Series in Several VariablesCosine and Sine Trigonometric Functions Issue Date: 2010 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Fractional Calculus and Applied Analysis, Vol. 13, No 2, (2010), 159p-176p Abstract: Two integral transforms involving the Gauss-hypergeometric function in the kernels are considered. They generalize the classical Riemann-Liouville and Erdélyi-Kober fractional integral operators. Formulas for compositions of such generalized fractional integrals with the product of Bessel functions of the first kind are proved. Special cases for the product of cosine and sine functions are given. The results are established in terms of generalized Lau-ricella function due to Srivastava and Daoust. Corresponding assertions for the Riemann-Liouville and Erdélyi-Kober fractional integrals are presented. Description: Dedicated to 75th birthday of Prof. A.M. Mathai, Mathematical Subject Classification 2010:26A33, 33C10, 33C20, 33C50, 33C60, 26A09 URI: http://hdl.handle.net/10525/1647 ISSN: 1311-0454 Appears in Collections: 2010

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