A note on the harmonic oscillator group, quasi-monomiality and endomorphisms of the vector spaces

DOI10.1016/S0034-4877(18)30032-6zbMath1402.22021OpenAlexW2801002401WikidataQ129835875 ScholiaQ129835875MaRDI QIDQ1626294

Subuhi Khan, Mahvish Ali

Publication date: 27 November 2018

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

Full work available at URL: https://doi.org/10.1016/s0034-4877(18)30032-6

zbMATH Keywords

monomiality principle2-variable Hermite matrix polynomialsharmonic oscillator Lie algebraLie algebra of endomorphisms

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) Lie algebras of Lie groups (22E60) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50) Automorphisms and endomorphisms of algebraic structures (08A35)

Cites Work

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• A new extension of Hermite matrix polynomials and its applications
• Some results on quasi-monomiality.
• Lie theory and special functions
• LIE ALGEBRAIC DISCRETIZATION OF DIFFERENTIAL EQUATIONS
• Some Properties of Two Variable Laguerre Polynomials Via Lie Algebra
• A New Class of Orthogonal Polynomials: The Bessel Polynomials

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