dc.contributor.author Kuijlaars, A. B. J. dc.contributor.author Martínez-Finkelshtein, Andrei dc.contributor.author Orive, R. dc.date.accessioned 2012-08-03T08:26:58Z dc.date.available 2012-08-03T08:26:58Z dc.date.issued 2005 dc.identifier.issn 1068-9613 dc.identifier.uri http://hdl.handle.net/10835/1636 dc.description.abstract In this paper we study the orthogonality conditions satisfied by Jacobi polynomials $P_n^{(\alpha,\beta)}$ when the parameters $\alpha$ and $\beta$ are not necessarily $>-1$. We establish orthogonality on a generic closed contour on a Riemann surface. Depending on the parameters, this leads to either full orthogonality conditions on a single contour in the plane, or to multiple orthogonality conditions on a number of contours in the plane. In all cases we show that the orthogonality conditions characterize the Jacobi polynomial $P_n^{(\alpha, \beta)}$ of degree $n$ up to a constant factor. es_ES dc.language.iso en es_ES dc.source Electronic Transfer Numerical Analysis. Vol. 19, 1-17 (2005) es_ES dc.subject Polinomios ortogonales es_ES dc.subject Polinomios de Jacobi es_ES dc.title Orthogonality of Jacobi polynomials with general parameters. es_ES dc.type info:eu-repo/semantics/article es_ES dc.rights.accessRights info:eu-repo/semantics/openAccess es_ES
﻿