In this paper, we introduce the extension of the p-k Gamma function and the p-k Beta function. This extension of the p-k Gamma function is named as p-k-b Gamma function and an extension of the beta function is p-k-b Beta function. The new extension of the Gamma and Beta function has satisfied the usual properties. Also, we prove several identities of these functions.
Gehlot, Kuldeep S. and Nisar, Kottakkaran S.
Extension of Two Parameter Gamma, Beta Functions and Its Properties,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 15,
3, Article 4.
Available at: https://digitalcommons.pvamu.edu/aam/vol15/iss3/4