Special matrix functions: characteristics, achievements and future directions

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, we present matrix space analogues to generalized some functions and polynomials in the framework of matrix setti...

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Bibliographic Details
Published in:Linear & multilinear algebra 2020-01, Vol.68 (1), p.1-28
Main Author: Abdalla, Mohamed
Format: Article
Language:English
Subjects:
Complex variables
Functions (mathematics)
Mathematical analysis
matrix functional calculus
matrix polynomials
orthogonal matrix polynomials
Polynomials
Special functions
special matrix functions
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Summary: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, we present matrix space analogues to generalized some functions and polynomials in the framework of matrix setting. Many of the special matrix functions and polynomials are constructed along standard procedures. Recently published papers are also surveyed and we list the most essential ones.
ISSN:0308-1087
1563-5139
DOI:10.1080/03081087.2018.1497585