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

Autor:	Vivek Sahai, Ravi Dwivedi
Rok vydání:	2019
Předmět:	Pure mathematics Integral representation Applied Mathematics 010102 general mathematics Differential operator 01 natural sciences 010101 applied mathematics Matrix function Irreducible representation Lie algebra Beta (velocity) 0101 mathematics Analysis Mathematics
Zdroj:	Journal of Mathematical Analysis and Applications. 473:786-802
ISSN:	0022-247X
Popis:	In this paper, we present four models of irreducible representations of special complex Lie algebra s l ( 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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6cdbd1b3a69ac933f2f2acca412f4927 https://doi.org/10.1016/j.jmaa.2018.12.070 Zobrazit plný text záznamu Full Text from ScienceDirect