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Orthogonality of Jacobi polynomials with general parameters.
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 |