Title: Orthogonality of Jacobi polynomials with general parameters
Authors: Kuijlaars, Arno ×
Martinez-Finkelshtein, Andrei
Orive, Ramon #
Issue Date: 2005
Series Title: Electronic transactions on numerical analysis vol:19 issue:Sp. Iss. SI pages:1-17
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.
ISSN: 1068-9613
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Analysis Section
× corresponding author
# (joint) last author

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