scientific article; zbMATH DE number 7415807

zbMath1488.33047MaRDI QIDQ5159731

Ayman Shehata

Publication date: 28 October 2021

Full work available at URL: http://elib.mi.sanu.ac.rs/files/journals/kjm/61/2_eng.html

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zbMATH Keywords

Lie algebragenerating matrix functionsLegendre matrix polynomialsLegendre differential matrix equation

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)

Related Items (2)

Certain properties of Konhauser matrix polynomials via Lie algebra techniques ⋮ Unnamed Item

Cites Work

• 2-variable generalized Hermite matrix polynomials and Lie algebra representation
• Group-theoretic origin of certain generating functions
• On a multivariable extension for the extended Jacobi polynomials
• On the hypergeometric matrix function
• Certain generating matrix relations of generalized Bessel matrix polynomials from the view point of Lie algebra method
• Jacobi matrix differential equation, polynomial solutions, and their properties
• Lie theory and special functions
• Some properties of gamma and beta matrix functions
• Generating Functions for Hermite Functions
• Generating Functions for Bessel Functions
• 2-variable Laguerre matrix polynomials and Lie-algebraic techniques
• Origin of certain generating relations of Hermite matrix functions from the view point of Lie algebra
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