Generating relations of Tricomi and Hermite-Tricomi functions using Lie algebra representation

DOI10.1016/J.AMC.2008.01.018zbMath1154.33005OpenAlexW1984429873WikidataQ115361770 ScholiaQ115361770MaRDI QIDQ941480

Nader Ali Makboul Hassan, Subuhi Khan

Publication date: 1 September 2008

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

Full work available at URL: https://doi.org/10.1016/j.amc.2008.01.018

zbMATH Keywords

Lie algebra representationgenerating relationsHermite-Tricomi functionsgeneralized Tricomi functions

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 (2)

Generalized Tricomi and Hermite-Tricomi functions ⋮ Generating relations of multi-variable Tricomi functions of two indices using Lie algebra representation

Cites Work

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• Representation of Lie algebra \(\tau_{3}\) and 2-variable 2-parameter Bessel functions
• Incomplete 2D Hermite polynomials: Properties and applications.
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• Bilateral generating functions and operational methods
• Lie theory and special functions
• Generating Functions for Hermite Functions
• Generating Functions for Bessel Functions
• Hermite and Laguerre \(2D\) polynomials

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