Application of N-Fractional Calculus to Obtain Generating Functions

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Authors

  • P. K. Banerji
     Department o f Mathematics, J.N.V. University, Jodhpur-342 005 ,IN
  • M. G. Binsaad
     Department of Mathematics, University of Aden, Aden ,YE
  • F. B. F. Mohsen
     Department o f Mathematics, J.N.V. University, Jodhpur-342 005 ,IN

Keywords:

Generating Functions, Hypergeometric Functions, Appell's Functions, Lauricella's Functions, Fractional Derivative.

Abstract

In this paper we apply the concept of Nishimoto's fractional calculus (N-fractional calculus) to obtain some linear, bilinear and bilateral generating functions involving hypergeometric functions of two and three variables. Some particular cases are mentioned too.

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Published

2004-12-01

How to Cite

Banerji, P. K., Binsaad, M. G., & Mohsen, F. B. F. (2004). Application of N-Fractional Calculus to Obtain Generating Functions. The Journal of the Indian Mathematical Society, 71(1-4), 61–68. Retrieved from https://informaticsjournals.co.in/index.php/jims/article/view/22029

Issue

Volume 71, Issue 1-4, January-December 2004

Section

Articles

License

Copyright (c) 2004 P. K. Banerji, M. G. Binsaad, F. B. F. Mohsen

Creative Commons License

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