Representation of a Lie Algebra {\cal G}(0,1) and Three Variable Generalized Hermite Polynomials H_{n} (x,y,z)

DOI10.1080/10652460212893zbMath1024.33011OpenAlexW2049105189WikidataQ115295889 ScholiaQ115295889MaRDI QIDQ4782641

Ghazala Yasmin, Subuhi Khan, Mahmood A. Pathan

Publication date: 2 December 2002

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460212893

zbMATH Keywords

Hermite polynomials

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (5)

Unnamed Item ⋮ Certain properties of Konhauser matrix polynomials via Lie algebra techniques ⋮ Lie-theoretic generating relations of Hermite 2D polynomials ⋮ Lie-theoretic generating relations of two variable Laguerre polynomials ⋮ Lie algebra \({\mathcal{G}}(0, 1)\) and 3-variable 2-parameter Hermite polynomials

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