Some New Hypergeometric Transformations via Fractional Calculus Technique

Authors

Mohammad Faisal Khan, College of Science and Theoretical Studies, Saudi Electronic University, Riyadh, Saudi Arabia.Follow

Author Country (or Countries)

Saudi Arabia.

Abstract

In this paper, we establish a new hypergeometric transformation involving Gauss function using fractional calculus technique. We also obtain some other known and new identities involving Gauss function as special cases of our main result. As application of our result, we give two new hypergeometric transformations involving the products of the hypergeometric functions.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/140219

Recommended Citation

Faisal Khan, Mohammad (2020) "Some New Hypergeometric Transformations via Fractional Calculus Technique," Applied Mathematics & Information Sciences: Vol. 14: Iss. 2, Article 19.
DOI: http://dx.doi.org/10.18576/amis/140219
Available at: https://digitalcommons.aaru.edu.jo/amis/vol14/iss2/19