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 …

A note on the Appell matrix functions

R Dwivedi, V Sahai - Quaestiones Mathematicae, 2020 - Taylor & Francis
Appell matrix functions were studied in [4], assuming the commutativity of the considered
matrices. In this paper, we extend this work to Appell matrix functions where not all the …

Extended beta and gamma matrix functions via 2-parameter Mittag-Leffler matrix function

R Goyal, P Agarwal, GI Oros, S Jain - Mathematics, 2022 - mdpi.com
The main aim of this article is to study an extension of the Beta and Gamma matrix functions
by using a two-parameter Mittag-Leffler matrix function. In particular, we investigate certain …

On the matrix function and its fractional calculus properties

R Dwivedi, R Sanjhira - Communications in Mathematics, 2022 - cm.episciences.org
The main objective of the present paper is to introduce and study the function _pR_q(A,B;z)
with matrix parameters and investigate the convergence of this matrix function. The …

A Note on the Appell Hypergeometric Matrix Function F2

M Hidan, M Abdalla - Mathematical Problems in Engineering, 2020 - Wiley Online Library
A Note on the Appell Hypergeometric Matrix Function F2 Page 1 Research Article A Note on
the Appell Hypergeometric Matrix Function F2 M. Hidan 1 and M. Abdalla 1,2 1Mathematics …

On the incomplete second Appell hypergeometric matrix functions

A Verma, S Yadav - Linear and Multilinear Algebra, 2021 - Taylor & Francis
In this paper, we introduce the incomplete second Appell hypergeometric matrix functions in
terms of the incomplete Pochhammer matrix symbols. We also derive certain properties such …

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 …

Some results on the first Appell matrix function F1(A,B,B′,C;z,w)

H Abd-Elmageed, M Abdalla, M Abul-Ez… - Linear and Multilinear …, 2020 - Taylor & Francis
Full article: Some results on the first Appell matrix function F1(A,B,B′,C;z,w) Skip to Main
Content Taylor and Francis Online homepage Taylor and Francis Online homepage Log in …

Certain integral representations, transformation formulas and summation formulas related to Humbert matrix functions

B Çekim, R Dwivedi, V Sahai, A Shehata - Bulletin of the Brazilian …, 2021 - Springer
The main objective of this work is to present some important results and formulas in the
theory of Humbert matrix functions by using the concepts of matrix functional calculus. We …

Further investigations on the two variables second Appell hypergeometric matrix function

M Abdalla, H Abd-Elmageed, M Abul-Ez… - Quaestiones …, 2023 - Taylor & Francis
Over the last two decades, special matrix functions have become a major area of study for
mathematicians and physicists. The famous four Appell hypergeometric matrix functions …