Models of Lie algebra sl(2, C) and special matrix functions by means of a matrix integral transformation

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:473

Article

Dwivedi, Ravi¹  Sahai, Vivek¹ 

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

关键词: Lie algebra sl(2, C);    Matrix functional calculus;    Special matrix functions;    Matrix integral transforms;   

DOI  :  10.1016/j.jmaa.2018.12.070

来源: Elsevier

【 摘 要 】

In this paper, we present four models of irreducible representations of special complex Lie algebra sl(2, C) from the special matrix functions point of view. These models, which involve differential operators, are transformed into matrix difference differential operators using an integral transformation motivated by the integral representation of beta matrix function. We also obtain the matrix identities involving one or two variable special matrix functions. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free