Lie-theoretic generating relations of two variable Laguerre polynomials

DOI10.1016/S0034-4877(03)80001-0zbMath1042.33007OpenAlexW2056635351MaRDI QIDQ1424093

Ghazala Yasmin, Subuhi Khan

Publication date: 8 March 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)80001-0

zbMATH Keywords

Laguerre 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 (6)

Representation of Lie algebra \({\mathcal T}_3\) and generalized Bessel functions ⋮ Representation of Lie algebra \(\tau_{3}\) and 2-variable 2-parameter Bessel functions ⋮ Harmonic oscillator group and Laguerre 2D polynomials. ⋮ Unnamed Item ⋮ Some results involving Hermite-base polynomials and functions using operational methods ⋮ Lie algebra \(\mathcal{K}_{5}\) and 3-variable Laguerre-Hermite polynomials

Cites Work

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• Group-theoretic origin of certain generating functions
• Generalized Bessel functions and generalized Hermite polynomials
• Generalized polynomials, operational identities and their applications
• Lie theory and special functions
• Analysis on Poisson and Gamma Spaces
• Representation of a Lie Algebra {\cal G}(0,1) and Three Variable Generalized Hermite Polynomials H_{n} (x,y,z)

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