3 papers
math.GM2024
New Modified Gamma and Beta Functions
S Mubeen, I. Aslam, Ghazi S. Khammash +2
This note introduces a new range of modified gamma and beta functions. The authors present new modified gamma and beta -functions, first and second summation relations, vari…
math.GM2024
Some generalized inequalities involving extended beta and gamma functions for several variables
S. Mubeen, I. Aslam, Ghazi S. Khammash +2
Recently, extensions of gamma and beta functions have been studied by many researchers due to their nice properties and variety of applications in different fields of science. The…
math.GM2024
On the fractional integrals and derivatives of Bateman's matrix polynomials
Ghazi S. Khammash, Shimaa I. Moustafa, Shahid Mubeen +2
The object of this paper is to investigate the certain results involving Bateman's matrix polynomials for integral index. We obtain some properties, integral representation and rec…