Generalized fractional integration of k\-Bessel function

2016/12/12 by Rahman, G., Nisar, K. S., Mubeen, S. +1
#26A09 #26A33 #33C05 #33C10 #33C20 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1612.03578

Abstract

In this present paper our aim is to deal with two integral transforms which involving the Gauss hypergeometric function as its kernels. We prove some compositions formulas for such a generalized fractional integrals with k Bessel function. The results are established in terms of generalized Wright type hypergeometric function and generalized hypergeometric series. Also, the authors presented some corresponding assertions for Riemann Liouville and Erdelyi Kober fractional integral transforms.

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