Some Properties of a Generalized Mittag-Leffler Type Function

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Authors

  • Kishan Sharma
     Department of Mathematics, NRI Institute of Technology and Management, Baraghata, Next to S.G. Motors, Jhansi Road, Gwalior-474 001 ,IN

Keywords:

Fractional Calculus, Riemann-Liouville Fractional Integrals and Derivatives, Laplace Transform, Beta Transform, Mellin Transform, Whittaker Transform, Generalized Hypergeometric Series.

Abstract

This paper is concerned to the study of a new generalized function of Mittag-Leffler type. Its various properties including Laplace transform, Beta transform, Mellin transform, Whittaker transform, generalized hypergeometric series form, Mellin-Barnes integral representation and its relationship with Fox's H-function and Wright hypergeometric function are established. Also derived the relations that exist between this function and the operators of Riemann-Liouville fractional integrals and derivatives. These presentations make the reader familiar with the present trend of research in Mittag-Leffler functions and their applications.

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Published

2022-10-19

How to Cite

Sharma, K. (2022). Some Properties of a Generalized Mittag-Leffler Type Function. The Journal of the Indian Mathematical Society, 82(1-2), 155–167. Retrieved from http://informaticsjournals.com/index.php/jims/article/view/1811

Issue

Volume 82, Issue 1-2, January-June 2015

Section

Articles

License

Copyright (c) 2015 Kishan Sharma

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 

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