Certain properties of Gegenbauer polynomials via Lie algebra

DOI10.1007/s13398-016-0343-xzbMath1375.33015OpenAlexW2528588083WikidataQ62617535 ScholiaQ62617535MaRDI QIDQ1674101

Praveen Agarwal, Krunal B. Kachhia, Jyotindra C. Prajapati, Junesang Choi

Publication date: 1 November 2017

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-016-0343-x

zbMATH Keywords

Lie algebraRodrigues formulaGegenbauer polynomialsendomorphismLegendre polynomials

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)

Cites Work

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• A novel theory of Legendre polynomials
• Generalized Bessel functions and generalized Hermite polynomials
• A unified point of view on the theory of generalized Bessel functions
• The Gegenbauer Addition Theorem
• Some Properties of Two Variable Laguerre Polynomials Via Lie Algebra
• A Diagonal Expansion in Gegenbauer Polynomials for a Class of Second-Order Probability Densities
• A New Class of Orthogonal Polynomials: The Bessel Polynomials

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