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 …
been in a focus of increasing attention leading to new and interesting problems. In this work …
On the Wright hypergeometric matrix functions and their fractional calculus
A Bakhet, Y Jiao, F He - Integral Transforms and Special Functions, 2019 - Taylor & Francis
In this paper we focus on the Wright hypergeometric matrix functions and incomplete Wright
Gauss hypergeometric matrix functions by using Pochhammer matrix symbol. We first …
Gauss hypergeometric matrix functions by using Pochhammer matrix symbol. We first …
Extended k-gamma and k-beta functions of matrix arguments
GS Khammash, P Agarwal, J Choi - Mathematics, 2020 - mdpi.com
Various k-special functions such as k-gamma function, k-beta function and k-hypergeometric
functions have been introduced and investigated. Recently, the k-gamma function of a matrix …
functions have been introduced and investigated. Recently, the k-gamma function of a matrix …
On the hypergeometric matrix functions of two variables
On the hypergeometric matrix functions of two variables Page 1 https://doi.org/10.1080/03081087.2017.1373732
On the hypergeometric matrix functions of two variables Ravi Dwivedi and Vivek Sahai …
On the hypergeometric matrix functions of two variables Ravi Dwivedi and Vivek Sahai …
On degenerate gamma matrix functions and related functions
Recently, the applications of special functions of matrix arguments have received more
attention in many fields, such as theoretical physics, number theory, probability theory …
attention in many fields, such as theoretical physics, number theory, probability theory …
Jacobi matrix differential equation, polynomial solutions, and their properties
E Defez, L Jódar, A Law - Computers & Mathematics with Applications, 2004 - Elsevier
In this paper, Jacobi matrix polynomials are introduced, starting from the hypergeometric
matrix function. The differential equation satisfied by them is presented. A Rodrigues' …
matrix function. The differential equation satisfied by them is presented. A Rodrigues' …
On the extended hypergeometric matrix functions and their applications for the derivatives of the extended Jacobi matrix polynomial
In this paper, we obtain some generating matrix functions and integral representations for
the extended Gauss hypergeometric matrix function EGHMF and their special cases are also …
the extended Gauss hypergeometric matrix function EGHMF and their special cases are also …
A note on the Appell matrix functions
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 …
matrices. In this paper, we extend this work to Appell matrix functions where not all the …
Certain matrix Riemann–Liouville fractional integrals associated with functions involving generalized Bessel matrix polynomials
The fractional integrals involving a number of special functions and polynomials have
significant importance and applications in diverse areas of science; for example, statistics …
significant importance and applications in diverse areas of science; for example, statistics …
Extended beta and gamma matrix functions via 2-parameter Mittag-Leffler matrix function
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 …
by using a two-parameter Mittag-Leffler matrix function. In particular, we investigate certain …