Special matrix functions: characteristics, achievements and future directions

ABSTRACT

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.

KEYWORDS:

• Special functions
• special matrix functions
• matrix polynomials
• orthogonal matrix polynomials
• matrix functional calculus

AMS MATHEMATICS SUBJECT CLASSIFICATION (2010):

• 15A60
• 33C05
• 33C45
• 34A05

Correction Statement

This article has been republished with minor changes. These changes do not impact the academic content of the article.

Disclosure statement

No potential conflict of interest was reported by the authors.