Connections between real polynomial solutions of hypergeometric-type differential equations with Rodrigues formula

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dc.creatorWeber, H. J.
dc.date2007-06-20
dc.date.accessioned2026-07-07T08:11:22Z
dc.date.available2026-07-07T08:11:22Z
dc.descriptionStarting from the Rodrigues representation of polynomial solutions of the general hypergeometric-type differential equation complementary polynomials are constructed using a natural method. Among the key results is a generating function in closed form leading to short and transparent derivations of recursion relations and an addition theorem. The complementary polynomials satisfy a hypergeometric-type differential equation themselves, have a three-term recursion among others and obey Rodrigues formulas. Applications to the classical polynomials are given.
dc.description13 pages, no figures
dc.identifierhttps://arxiv.org/abs/0706.3003
dc.identifierhttp://arxiv.org/abs/0706.3003
dc.identifierCentral European J. Math. 5 (2007) 415-427
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132099
dc.subjectClassical Analysis and ODEs
dc.subject33C45, 34B24, 35Q40, 42C05
dc.titleConnections between real polynomial solutions of hypergeometric-type differential equations with Rodrigues formula
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