Geodesic
Orthogonality of Jacobi polynomials with general parameters
Electronic transactions on numerical analysis, Tome 19 (2005), pp. 1-17.

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Summary: In this paper we study the orthogonality conditions satisfied by Jacobi polynomials when the $$###$$ parameters and are not necessarily . 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 $$###$$§$$###$\copyright \ddot $ orthogonality conditions characterize the Jacobi polynomial of degree up to a constant factor.$$
Classification : 33C45
Keywords: Jacobi polynomials, orthogonality, rodrigues formula, zeros 
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     author = {Kuijlaars, A.B.J. and Martinez-Finkelshtein, A. and Orive, R.},
     title = {Orthogonality of {Jacobi} polynomials with general parameters},
     journal = {Electronic transactions on numerical analysis},
     pages = {1--17},
     publisher = {mathdoc},
     volume = {19},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2005__19__a9/}
}
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Kuijlaars, A.B.J.; Martinez-Finkelshtein, A.; Orive, R. Orthogonality of Jacobi polynomials with general parameters. Electronic transactions on numerical analysis, Tome 19 (2005), pp. 1-17. http://geodesic.mathdoc.fr/item/ETNA_2005__19__a9/