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Title: Fractional Integration of the Product of Bessel Functions of the First Kind
Authors: Kilbas, Anatoly
Sebastian, Nicy
Keywords: Fractional Integrals
Bessel Function of the First Kind
Generalized Hypergeometric Series
Generalized Lauricella Series in Several Variables
Cosine 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
ISSN: 1311-0454
Appears in Collections:2010

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