Rediscovering the contributions of Rodrigues on the representation of special functions

DOI10.1016/j.exmath.2005.05.001zbMath1083.33008OpenAlexW2086333075MaRDI QIDQ813951

André Ronveaux, Jean Mawhin

Publication date: 2 February 2006

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.exmath.2005.05.001

zbMATH Keywords

orthogonal polynomialshypergeometric functionsfunctions of the second kind

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) History of mathematics in the 19th century (01A55)

Related Items (1)

Schrödinger and Dirac equations for the hydrogen atom, and Laguerre polynomials

Cites Work

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• On Appell-Laguerre polynomials
• Hypergeometric-type differential equations: second kind solutions and related integrals.
• Fourth-order differential equations satisfied by the generalized co- recursive of all classical orthogonal polynomials. A study of their distribution of zeros
• Special nonuniform lattice (snul) orthogonal polynomials on discrete dense sets of points
• The Relation of the Classical Orthogonal Polynomials to the Polynomials of Appell

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