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- W1582484493 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." @default.
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- W1582484493 date "2003-01-06" @default.
- W1582484493 modified "2023-09-27" @default.
- W1582484493 title "Orthogonality of Jacobi polynomials with general parameters" @default.
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- W1582484493 hasPublicationYear "2003" @default.
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