Connections between Romanovski and other polynomials

Simple item page
dc.creatorWeber, H. J.
dc.date2007-06-21
dc.date.accessioned2026-07-07T08:11:33Z
dc.date.available2026-07-07T08:11:33Z
dc.descriptionA connection between Romanovski polynomials and those polynomials that solve the one-dimensional Schrödinger equation with the trigonometric Rosen-Morse and hyperbolic Scarf potential is established. The map is constructed by reworking the Rodrigues formula in an elementary and natural way. The generating function is summed in closed form from which recursion relations and addition theorems follow. Relations to some classical polynomials are also given.
dc.description17 pages, no figures, to appear in Central European J. Math. (2007)
dc.identifierhttps://arxiv.org/abs/0706.3153
dc.identifierhttp://arxiv.org/abs/0706.3153
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132153
dc.subjectClassical Analysis and ODEs
dc.subject33C45, 42C15, 33C30, 34B24
dc.titleConnections between Romanovski and other polynomials
dc.typetext

Files

Collections

arXiv