Orthogonality of Jacobi polynomials with general parameters.

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 ei...

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Bibliographic Details
Main Authors: Kuijlaars, A. B. J., Martínez-Finkelshtein, Andrei, Orive, R.
Format: info:eu-repo/semantics/article
Language:English
Published: 2012
Subjects:
Online Access:http://hdl.handle.net/10835/1636