New Modified Gamma and Beta Functions

Published 8 Dec 2023 in math.GM | (2403.09659v2)

Abstract: This note introduces a new range of modified gamma and beta $k$ functions. The authors present new modified gamma and beta $k$-functions, first and second summation relations, various functionals, Mellin transforms, and integral representations. Furthermore, mean, variance and the moment generating function of a generalized beta distribution are obtained.

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