arXiv subjects

Ghazi S. Khammash

Publications and source records attributed to Ghazi S. Khammash.

3 recordsLinked to original sources

arXiv2024

On the fractional integrals and derivatives of Bateman's matrix polynomials

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 recurrence relations for hypergeometric matrix function. We introduce some matrix differential equations of the three order, integral transform and fractional integral formulas for hypergeometric matrix function by using the beta and Laplace transforms formula, Erdelyi Kober type fractional integral operators

math.GM↗

arXiv2024

Some generalized inequalities involving extended beta and gamma functions for several variables

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 aim of this note is to investigate generalized inequalities associated with extended beta and gamma functions

math.GM↗

arXiv2024

New Modified Gamma and Beta Functions

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.

math.GM↗