A new generalization of confluent hypergeometric function and whittaker function

Nabiullah Khan; Talha Usman; Mohd Ghayasuddin

doi:10.5269/bspm.v38i2.37578

A new generalization of confluent hypergeometric function and whittaker function

Nabiullah Khan Faculty of Engineering and Technology Department of Applied Mathematics
Talha Usman Aligarh Muslim University Faculty of Engineering and Technology Department of Applied Mathematics
Mohd Ghayasuddin Integral University Faculty of Science Department of Mathematics

DOI: https://doi.org/10.5269/bspm.v38i2.37578

Keywords: Whittaker function, Beta function, Extended beta function, Extended confluent hypergeometric function, Gauss hypergeometric function, Extended Gauss hypergeometric function

Abstract

In this article, we introduce a further generalizations of the confluent hypergeometric function and Whittaker function by introducing an extra parameter in the extended con uent hypergeometric function dened by Parmar [15]. We also investigate some integral representations, some integral transforms, differential formulas and recurrence relations of these new generalizations