A new generalization of confluent hypergeometric function and whittaker function

Auteurs-es

  • 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

Mots-clés :

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

Résumé

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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Publié

2018-02-19

Numéro

Rubrique

Research Articles