A new generalization of confluent hypergeometric function and whittaker function

Nabiullah Khan, Talha Usman, Mohd Ghayasuddin

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


Keywords


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

Full Text:

PDF


DOI: http://dx.doi.org/10.5269/bspm.v38i2.37578



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

ISSN 0037-8712 (print) and ISSN 2175-1188 (on-line)

 

Resultado de imagem para CC BY