English

The search for differential equations for orthogonal polynomials by using computers

Classical Analysis and ODEs 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/9908141,
  title  = {The search for differential equations for orthogonal polynomials by using computers},
  author = {Roelof Koekoek},
  journal= {arXiv preprint arXiv:math/9908141},
  year   = {2007}
}

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24 pages