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 …

Extended Gauss hypergeometric matrix functions

M Abdalla, A Bakhet - Iranian Journal of Science and Technology …, 2018 - Springer
An extension of the Beta matrix function by introducing an extra matrix parameter is applied
here to extend the Gauss and Kummer hypergeometric matrix functions. Since the latter …

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 …

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
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Infinite matrix products and the representation of the matrix gamma function

JC Cortés, L Jódar, FJ Solís… - Abstract and Applied …, 2015 - Wiley Online Library
We introduce infinite matrix products including some of their main properties and
convergence results. We apply them in order to extend to the matrix scenario the definition of …

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 …

On Rice's matrix polynomials

A Shehata - Afrika Matematika, 2014 - Springer
The main aim of this paper is to define and study of a new matrix polynomials, say, the Rice's
matrix polynomials. The convergence, radius of regularity, integral form, generating matrix …

A New Extension of Bessel Matrix Functions.

A Shehata - Southeast Asian Bulletin of Mathematics, 2016 - search.ebscohost.com
The main aim of this paper is to define a new family of special matrix functions, say, p-
Hypergeometric, p-Bessel, p-modified Bessel and p-Tricomi matrix functions, where p is a …

On p-Kummer's Matrix Function of Complex Variable Under Differential Operators and Their Properties.

MS Metwally - Southeast Asian Bulletin of Mathematics, 2011 - search.ebscohost.com
The main aim of this paper is to define and study of a new kind of Kummer's matrix function,
say, p-Kummer's matrix function of complex variables. The radius of regularity, integral form …

ON BESSEL-MAITLAND MATRIX FUNCTION.

A Shehata, S Khan - Mathematica (1222-9016), 2015 - search.ebscohost.com
The main object of this paper is to consider the Bessel-Maitland matrix function in the
following form:... A different approach is adopted to study the radius of regularity, order and …