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

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Publication Date : 2021-05-01

Article Type : Research Paper

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