Special matrix functions: characteristics, achievements and future directions

M Abdalla - Linear and Multilinear Algebra, 2020 - Taylor & Francis
In recent years, special matrix functions and polynomials of a real or complex variable have
been in a focus of increasing attention leading to new and interesting problems. In this work …

Discrete matrix hypergeometric functions

T Cuchta, D Grow, N Wintz - Journal of Mathematical Analysis and …, 2023 - Elsevier
We generalize the scalar discrete hypergeometric series to allow for matrix parameters. We
show their connection to classical matrix hypergeometric series, derive conditions for …

Divergence criteria for matrix generalized hypergeometric series

T Cuchta, D Grow, N Wintz - Proceedings of the American Mathematical …, 2022 - ams.org
Divergence criteria for matrix generalized hypergeometric series Page 1 PROCEEDINGS OF
THE AMERICAN MATHEMATICAL SOCIETY Volume 150, Number 3, March 2022, Pages …

On 2-variables Konhauser matrix polynomials and their fractional integrals

A Bakhet, F He - Mathematics, 2020 - mdpi.com
In this paper, we first introduce the 2-variables Konhauser matrix polynomials; then, we
investigate some properties of these matrix polynomials such as generating matrix relations …

Some Relations on the rRs(P,Q,z) Matrix Function

A Shehata, GS Khammash, C Cattani - Axioms, 2023 - mdpi.com
In this paper, we derive some classical and fractional properties of the r R s matrix function
by using the Hilfer fractional operator. The theory of special matrix functions is the theory of …

Further results on the generalised hypergeometric matrix functions

M Abdalla - International Journal of Computing Science and …, 2019 - inderscienceonline.com
In recent years, various results of the special matrix functions have been established in
many papers. In the present paper, we have developed certain properties involving …

Connections between Legendre with Hermite and Laguerre matrix polynomials

A Shehata - Gazi University Journal of Science, 2015 - dergipark.org.tr
The aim of this paper is to develop a connection between Legendre and Hermite matrix
polynomials recently introduced in\cite {Lasm1} is derived. We also obtain various new …

A new kind of Legendre matrix polynomials

A Shehata - Gazi University Journal of Science, 2016 - dergipark.org.tr
The main aim of this paper is to introduce a new kind of Legendre matrix polynomials.
Hypergeometric matrix representation of these matrix polynomials is given. The …

[PDF][PDF] Certain generating relations of Konhauser matrix polynomials from the view point of Lie algebra method

A Shehata - … of Bucharest Scientific Bulletin-series A …, 2017 - scientificbulletin.upb.ro
This paper is devoted to construct Lie operators associated with Konhauser matrix
polynomials of the first kind using Lie group theory. Furthermore, certain generating matrix …

Generalized Mittag-Leffler matrix function and associated matrix polynomials

R Sanjhira, BV Nathwani… - The Journal of the Indian …, 2019 - informaticsjournals.co.in
Abstract The Mittag-Leffler function has been found useful in solving certain problems in
Science and Engineering. On the other hand, noticing the occurrence of certain matrix …