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The search for differential equations for orthogonal polynomials by using computers

Roelof Koekoek
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Abstract

We look for spectral type differential equations for the generalized Jacobi polynomials found by T.H. Koornwinder in 1984 and for the Sobolev-Laguerre polynomials. We introduce a method which makes use of computeralgebra packages like Maple and Mathematica and we will give some preliminary results.

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Roelof Koekoek. 1999-08-27. The search for differential equations for orthogonal polynomials by using computers. https://arxiv.org/abs/math/9908141

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