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 …

[PDF][PDF] Some relations on Konhauser matrix polynomials

A Shehata - Miskolc Mathematical Notes, 2016 - real.mtak.hu
This paper deals with the study of the generalized hypergeometric matrix function and
obtains some of its properties. We rephrase some results from the previous (earlier) works …

Some new results for Jacobi matrix polynomials

B Çekim, A Altin, R Aktaş - Filomat, 2013 - JSTOR
Some New Results for Jacobi Matrix Polynomials Page 1 Filomat 27:4 (2013), 713–719 DOI
10.2298/FIL1304713C Published by Faculty of Sciences and Mathematics, University of Niš …

Two variables Shivley's matrix polynomials

F He, A Bakhet, M Hidan, M Abdalla - Symmetry, 2019 - mdpi.com
The principal object of this paper is to introduce two variable Shivley's matrix polynomials
and derive their special properties. Generating matrix functions, matrix recurrence relations …

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 …

Some relations on Humbert matrix polynomials

A Shehata - Mathematica Bohemica, 2016 - dml.cz
The Humbert matrix polynomials were first studied by Khammash and Shehata (2012). Our
goal is to derive some of their basic relations involving the Humbert matrix polynomials and …

[PDF][PDF] Multivariable matrix generalization of Gould-Hopper polynomials

B Çekim, R Aktaş - Miskolc Mathematical Notes, 2015 - real.mtak.hu
The main object of this investigation is to define a multivariable matrix generalization of
Gould-Hopper polynomials and to reveal some relations such as matrix generating function …

[PDF][PDF] New generating functions for the Konhauser matrix polynomials

E Erkuş–Duman, B Çekim - … Faculty of Sciences University of Ankara …, 2014 - dergipark.org.tr
NEW GENERATING FUNCTIONS FOR THE KONHAUSER MATRIX POLYNOMIALS 1.
Introduction In 2011, Varma et. al. defined the pair of the Kon Page 1 Commun.Fac.Sci.Univ.Ank.Series …

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 …

Modified Laguerre matrix polynomials

L Kargin, V Kurt - Filomat, 2014 - JSTOR
In this paper, modified Laguerre matrix polynomials which appear as finite series solutions
of second-order matrix differential equation are introduced. Some formulas related to an …