Associated Lie Algebras of One-Variable and Bivariate Hermite Polynomials and New Generating Functions

Autor:	Manouchehr Amiri
Rok vydání:	2023
Předmět:	applied_mathematics
Popis:	This paper presents the symmetries of differential equations associated with one-variable and Bivariate Hermite polynomials by proposing a representation of Lie algebra sl 2,R for these differential operators. Applying the Baker-Campbell-Hausdorff formula to these algebras, results in new relations and generating functions in one-variable and Bivariate Hermite polynomials. A general form of sl 2,R representation for other orthogonal polynomials such as Laguerre polynomials is introduced.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c2e909dd2c268a13f8ef47df64978b1b https://doi.org/10.20944/preprints202303.0332.v1 Zobrazit plný text záznamu