Mathematics – Classical Analysis and ODEs
Scientific paper
1999-08-27
Proceedings of the International Workshop on Orthogonal Polynomials in Mathematical Physics (Legan\'es, 1996), Universidad Car
Mathematics
Classical Analysis and ODEs
10 pages, published in Proceedings of the International Workshop on Orthogonal Polynomials in Mathematical Physics (Leganes, 1
Scientific paper
We find all spectral type differential equations satisfied by the symmetric generalized ultraspherical polynomials which are orthogonal on the interval [-1,1] with respect to the classical symmetric weight function for the Jacobi polynomials together with equal mass points at both ends of the interval of orthogonality. In order to find explicit formulas for the coefficients of these differential equations we have to solve systems of equations involving derivatives of the classical Jacobi polynomials. These systems of equations have a unique solution which is given explicitly. This is a consequence of the Jacobi inversion formula.
Koekoek J.
Koekoek Roelof
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