2000 character limit reached
New Modified Gamma and Beta Functions (2403.09659v2)
Published 8 Dec 2023 in math.GM
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.
