Lie algebras of matrix difference differential operators and special matrix functions

被引：9

作者：

Dwivedi, Ravi ^{[1
]}

Sahai, Vivek ^{[1
]}

机构：

[1] Lucknow Univ, Dept Math & Astron, Lucknow 226007, Uttar Pradesh, India

来源：

ADVANCES IN APPLIED MATHEMATICS | 2021年 / 122卷 / 122期

关键词：

Lie algebra sl(2; C); Hypergeometric matrix functions; Matrix functional calculus; POLYNOMIALS;

D O I：

10.1016/j.aam.2020.102109

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss certain models of irreducible representations of Lie algebra sl(2, C) from the special matrix functions point of view. These models are constructed in terms of matrix differential operators and matrix difference differential operators and are connected through a matrix integral transformation. In the process, we find new matrix function identities involving one and two variable special matrix functions. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：19

共 17 条

[1]

Defez E, 2002, UTILITAS MATHEMATICA, V61, P107

[2]

Dunford N., 1957, PURE APPL MATH

[3] A note on the Appell matrix functions [J].