- Cankaya University Journal of Science and Engineering
- Vol: 18 Issue: 1
- A New Extension of Modified Gamma and Beta Functions
A New Extension of Modified Gamma and Beta Functions
Authors : Umar Muhammad Abubakar, Salım Rabı'u Kabara, Muhammad Auwal Lawan, Faısal Adam Idris
Pages : 9-23
View : 15 | Download : 6
Publication Date : 2021-05-01
Article Type : Research
Abstract :In this research paper, a new extension of modified Gamma and Beta functions is presented and various functional, symmetric, first and second summation relations, Mellin transforms and integral representations are obtained. Furthermore, mean, variance and moment generating function for the beta distribution of the new extension of the modified beta function are also obtained.Keywords : Gamma function, beta function, Mittag-Leffler function, modified gamma function, modified beta function, beta distribution