Harmonic oscillator group and Laguerre 2D polynomials.

DOI10.1016/S0034-4877(03)90014-0zbMath1086.33501OpenAlexW2039314284MaRDI QIDQ595953

Subuhi Khan

Publication date: 6 August 2004

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(03)90014-0

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) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (5)

Representation of Lie algebra \({\mathcal T}_3\) and generalized Bessel functions ⋮ Representation of Lie algebra \(\tau_{3}\) and 2-variable 2-parameter Bessel functions ⋮ Certain properties of Konhauser matrix polynomials via Lie algebra techniques ⋮ 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-theoretic generating relations of two variable Laguerre polynomials
• 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
• Hermite and Laguerre \(2D\) polynomials

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