activity
20212025
most citedOn Bibasic Humbert hypergeometric function

2 citations · 3 across the 13 of their papers we have counts for

collaborators

13 papers

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.CA2024

Study of dynamical symmetrietry algebra of -Humbert function

Ayman Shehata, Dinesh Kumar

The study is devoted to the construction of dynamical symmetry algebra of confluent hypergeometric function and -Humbert function and to derive some generating relatio…

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…

math.CA2022

Certain new formulas for bibasic Humbert hypergeometric functions and

Ayman Shehata

The main aim of the present work is to give some interesting the -analogues of various -recurrence relations, -recursion formulas, -partial derivative relations, -in…

math.CA2022★ 2 cited

On Bibasic Humbert hypergeometric function

Ayed Aledamat, Ayman Shehata

The main aim of this work is to derive the -recurrence relations, -partial derivative relations and summation formula of bibasic Humbert hypergeometric function on two…

math.CA2021

On extension of the function and their -calculus

Ayman Shehata, Dinesh Kumar

In this article, we investigate and establish some properties including analytic properties, contiguous relations, differential properties, differential operators, an expansion for…

math.CA2021

Derivatives of Srivastava's hypergeometric functions with respect to their parameters

Ayman Shehata, Recep Sahin, Oguz Yagcl +1

This paper studies derivatives with respect to the parameters of Srivastava triple hypergeometric functions HA, HB and HC. Using basic properties of the Gamma function and Pochhamm…

math.CA2021★ 1 cited

An extension of basic Humbert hypergeometric functions Φ1, Φ2 and Φ3

Ayman Shehata

Given the growing quantity of proposals and works of basic hypergeometric functions in the scope of -calculus, it is important to introduce a systematic classification of -ca…

math.CA2021

Derivatives of Humbert confluent hypergeometric functions with respect to their parameters

Ayman Shehata, Recep Sahin, Oguz Yagcı +1

Humbert confluent hypergeometric functions of two variables arise in many problems of mathematical physics and applied analysis, yet their behavior with respect to parameters has n…