Generalized and mixed type Gegenbauer polynomials

DOI10.1016/J.JMAA.2012.01.026zbMath1253.33015OpenAlexW1993049825MaRDI QIDQ408268

Ghazala Yasmin, Ahmed Ali Al-Gonah, Subuhi Khan

Publication date: 29 March 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.01.026

zbMATH Keywords

integral representationsgeneralized Gegenbauer polynomialsoperational methodsHermite-Gegenbauer and the Laguerre-Gegenbauer polynomialstwo variables polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other hypergeometric functions and integrals in several variables (33C70)

Related Items (3)

Some identities involving Gegenbauer polynomials ⋮ Some identities involving generalized Gegenbauer polynomials ⋮ Recurrence relations for orthogonal polynomials on triangular domains

Cites Work

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• Inverse series relations and other expansions involving Humbert polynomials
• The poweroid, an extension of the mathematical notion of power
• Hermite polynomials with more than two variables and associated bi-orthogonal functions

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