English

New Modified Gamma and Beta Functions

General Mathematics 2025-02-12 v2

Abstract

This note introduces a new range of modified gamma and beta kk functions. The authors present new modified gamma and beta kk-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.

Keywords

Cite

@article{arxiv.2403.09659,
  title  = {New Modified Gamma and Beta Functions},
  author = {S Mubeen and I. Aslam and Ghazi S. Khammash and Saralees Nadarajah and Ayman Shehata},
  journal= {arXiv preprint arXiv:2403.09659},
  year   = {2025}
}
R2 v1 2026-06-28T15:20:34.515Z