A new generalization of confluent hypergeometric function and whittaker function

Authors

  • 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

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Published

2018-02-19

Issue

Vol. 38 No. 2 (2020)

Section

Research Articles

License

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

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