Lie-theoretic generating relations of Hermite 2D polynomials

DOI10.1016/S0377-0427(03)00634-4zbMath1032.33011MaRDI QIDQ1414336

Subuhi Khan, Mahmood A. Pathan

Publication date: 20 November 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Lie algebraHermite 2D polynomialsgenerating relations

Mathematics Subject Classification ID

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 (4)

Representation of Lie algebra \({\mathcal T}_3\) and generalized Bessel functions ⋮ Representation of Lie algebra \(\tau_{3}\) and 2-variable 2-parameter Bessel functions ⋮ Generating relations of multi-variable Tricomi functions of two indices using Lie algebra representation ⋮ Generating relations of Tricomi and Hermite-Tricomi functions using Lie algebra representation

Cites Work

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• Lie theory and special functions
• Laguerre 2D-functions and their application in quantum optics
• Transformations of Laguerre 2D polynomials with applications to quasiprobabilities
• General Hermite and Laguerre two-dimensional polynomials
• Representation of a Lie Algebra {\cal G}(0,1) and Three Variable Generalized Hermite Polynomials H_{n} (x,y,z)
• Phase-space formalism: Generalized Hermite polynomials, orthogonal functions and creation–annihilation operators
• Hermite and Laguerre \(2D\) polynomials

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