Generalized Fractional Integral Formulas for the k-Bessel Function

The aim of this paper is to deal with two integral transforms involving the Appell function as their kernels. We prove some compositions formulas for generalized fractional integrals with k-Bessel function. The results are expressed in terms of generalized Wright type hypergeometric function and gen...

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Bibliographic Details
Main Authors: D. L. Suthar, Mengesha Ayene
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2018/5198621
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Summary:The aim of this paper is to deal with two integral transforms involving the Appell function as their kernels. We prove some compositions formulas for generalized fractional integrals with k-Bessel function. The results are expressed in terms of generalized Wright type hypergeometric function and generalized hypergeometric series. Also, the authors presented some related assertion for Saigo, Riemann-Liouville type, and Erdélyi-Kober type fractional integral transforms.
ISSN:2314-4629
2314-4785