Lie algebra representations and 1-parameter 2D-Hermite polynomials

DOI10.1080/10652469.2017.1288727zbMath1374.33013OpenAlexW2588055619WikidataQ115295861 ScholiaQ115295861MaRDI QIDQ5269317

Subuhi Khan, Mahvish Ali

Publication date: 15 June 2017

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

Full work available at URL: https://doi.org/10.1080/10652469.2017.1288727

zbMATH Keywords

recurrence relationsLie algebra representations2D-Hermite polynomialsfour-dimensional harmonic oscillator Lie algebra

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Lie algebras of Lie groups (22E60) Representation theory of linear operators (47A67)

Related Items (3)

Models of Lie algebra \(sl(2, \mathbb{C})\) and special matrix functions by means of a matrix integral transformation ⋮ Certain properties of Konhauser matrix polynomials via Lie algebra techniques ⋮ Generating functions for generalized Hermite polynomials associated with parabolic cylinder functions

Cites Work

• Two variable extensions of the Laguerre and disc polynomials
• Eigenvalue problems for the Schrödinger operator with the magnetic field on a compact Riemann manifold
• Transformations of Laguerre 2D polynomials with applications to quasiprobabilities

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