New generating functions for Gegenbauer polynomials

DOI10.1016/0377-0427(95)00237-5zbMath0855.33003OpenAlexW2064146629MaRDI QIDQ1919422

Harold Exton

Publication date: 22 January 1997

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

Full work available at URL: https://doi.org/10.1016/0377-0427(95)00237-5

zbMATH Keywords

generating functionsGegenbauer polynomialsultraspherical

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Nuclear reactor theory; neutron transport (82D75)

Related Items (1)

Some \(q\)-genrating functions and associated generalized hypergeometric polynomials

Cites Work

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• Orthogonal polynomials and differential equations in neutron-transport and radiative-transfer theories
• Generating relations for Tratnik’s multivariable biorthogonal continuous Hahn polynomials
• The relativistic Hermite polynomial is a Gegenbauer polynomial

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