Fractional Calculus and Certain Integral Transform of Extended $\tau$-Hypergeometric Function


Abstract views: 72 / PDF downloads: 55

Authors

  • Jai Prakash Patel Department of Mathematics, A P S University, Rewa, Madhya Pradesh, India
  • Neelam Pandey Department of Mathematics, Government Model Science College, Rewa, Madhya Pradesh, India

Keywords:

Extended $\tau$-Hypergeometric Function, Incomplete Pochhammer symbols, Incomplete Gamma function, Fractional derivative and integral operators, integral transform

Abstract

In this paper, authors establish the some new integral and derivative formulas of generalized $\tau$-hypergeometric functions $_3\Gamma_2 ^{\tau} (z)$ defined by (R. K. Gupta {et al.} [3,4]). Furthermore by applying some integral transforms as Beta-transform, Verma transform, Whittaker transform, Laplace transform and $P_\alpha$-transform on the resulting formulas.

Downloads

Published

15-06-2019

How to Cite

Jai Prakash Patel, & Neelam Pandey. (2019). Fractional Calculus and Certain Integral Transform of Extended $\tau$-Hypergeometric Function. International Journal of Mathematics And Its Applications, 7(2), 125–136. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/255

Issue

Vol. 7 No. 2 (2019)

Section

Research Article

License

Creative Commons License

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