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math.GM2025

On q-Bessel matrix polynomials

Ayman Shehata, M. Tawfik, Ayman M. Mahmoud +1

The aim of the present study is to establish some properties for q-Bessel matrix polynomials such as several q-differential matrix equation, q-differential matrix relations and q-r…

math.GM2024

An extended version of the matrix function

Ayman Shehata

Recently, Shehata et al. [37] introduced the matrix function and established some properties. The aim of this study established to devote and derive certain…

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.GM2023

On incomplete exponential matrix function

Ayman Shehata, Ghazi S. Khammsh, Ajay K. Shukla +1

The recurrence matrix relations, differentiation formulas, and analytical and fractional integral properties of incomplete gamma matrix functions and are all co…

math.GM2023

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…