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13 papers
Orthogonal Polynomials
Vilmos Totik
In this survey, different aspects of the theory of orthogonal polynomials of one (real or complex) variable are reviewed. Orthogonal polynomials on the unit circle are not discusse…
Inversion formulas involving orthogonal polynomials and some of their applications
Roelof Koekoek
We derive inversion formulas involving orthogonal polynomials which can be used to find coefficients of differential equations satisfied by certain generalizations of the classical…
Differential equations for generalized Jacobi polynomials
J. Koekoek, R. Koekoek
We look for spectral type differential equations satisfied by the generalized Jacobi polynomials, which are orthogonal on the interval [-1,1] with respect to a weight function cons…
The Jacobi inversion formula
J. Koekoek, R. Koekoek
We look for spectral type differential equations satisfied by the generalized Jacobi polynomials which are orthogonal on the interval [-1,1] with respect to a weight function consi…
Finding differential equations for symmetric generalized ultraspherical polynomials by using inversion methods
J. Koekoek, R. Koekoek
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 c…
Inversion methods for finding differential equations for generalized Jacobi polynomials
J. Koekoek, R. Koekoek
We look for differential equations satisfied by the generalized Jacobi polynomials which are orthogonal on the interval [-1,1] with respect to a weight function consisting of the c…