Certain matrix Riemann–Liouville fractional integrals associated with functions involving generalized Bessel matrix polynomials

M Abdalla, M Akel, J Choi - Symmetry, 2021 - mdpi.com
The fractional integrals involving a number of special functions and polynomials have
significant importance and applications in diverse areas of science; for example, statistics …

On behavior Laplace integral operators with generalized Bessel matrix polynomials and related functions

M Hidan, M Akel, SM Boulaaras… - Journal of Function …, 2021 - Wiley Online Library
Recently, the applications and importance of integral transforms (or operators) with special
functions and polynomials have received more attention in various fields like fractional …

Computation of Fourier transform representations involving the generalized Bessel matrix polynomials

M Abdalla, M Akel - Advances in Difference Equations, 2021 - Springer
Motivated by the recent studies and developments of the integral transforms with various
special matrix functions, including the matrix orthogonal polynomials as kernels, in this …

[PDF][PDF] Lie algebra and Laguerre matrix polynomials of one variable

A Shehata - General Letters in Mathematics, 2018 - refaad.com
Lie algebra and Laguerre Matrix Polynomials of One Variable Page 1 General Letters in
Mathematics Vol. 4, No. 1, Feb 2018, pp.1-5 e-ISSN 2519-9277, p-ISSN 2519-9269 Available …

Certain properties of generalized Hermite-Type matrix polynomials using Weisner's group theoretic techniques

A Shehata - Bulletin of the Brazilian Mathematical Society, New …, 2019 - Springer
The aim of this present paper is to investigate an interesting generating matrix relations for
generalized Hermite-type matrix polynomials by the application of the Lie group-theoretic …

On matrix elements of the -representation in a space of functions on -matrices

IA Shilin, J Choi - Integral Transforms and Special Functions, 2018 - Taylor & Francis
We obtain matrix elements and kernel of representation operators for one realization of SO
(2, 2)-representation in an appropriate space of functions defined on matrix cone. Indeed …

[PDF][PDF] Certain generating matrix functions of Legendre matrix polynomials using Lie algebraic method

A Shehata - Kragujevac Journal of Mathematics, 2020 - imi.pmf.kg.ac.rs
The main aim of this present paper is to investigate a new of interesting generating matrix
relation for Legendre matrix polynomials with the help of a Lie group-theoretic method …

Certain properties of Konhauser matrix polynomials via Lie Algebra techniques

A Shehata - Boletín de la Sociedad Matemática Mexicana, 2020 - Springer
The principal purpose of this paper is devoted to an investigation of some interesting
generating matrix functions for the second-kind Konhauser matrix polynomials (KMPs) using …

[PDF][PDF] Lie algebra G (0, 1) and 3-variable 2-parameter Hermite polynomials, A

G Yasmin, A Muhyi - Afr. Mat, 2019 - academia.edu
This article is an attempt to stress the usefulness of multi-variable special functions by
expressing them in terms of the corresponding Lie algebra or Lie group. The problem of …

[PDF][PDF] Research Article On Behavior Laplace Integral Operators with Generalized Bessel Matrix Polynomials and Related Functions

M Hidan, M Akel, SM Boulaaras, M Abdalla - 2021 - academia.edu
Recently, the applications and importance of integral transforms (or operators) with special
functions and polynomials have received more attention in various fields like fractional …