English

On differential equations for Sobolev-type Laguerre polynomials

Classical Analysis and ODEs 2007-05-23 v1

Abstract

We obtain all spectral type differential equations satisfied by the Sobolev-type Laguerre polynomials. This generalizes the results found in 1990 by the first and second author in the case of the generalized Laguerre polynomials defined by T.H. Koornwinder in 1984.

Cite

@article{arxiv.math/9908145,
  title  = {On differential equations for Sobolev-type Laguerre polynomials},
  author = {J. Koekoek and R. Koekoek and H. Bavinck},
  journal= {arXiv preprint arXiv:math/9908145},
  year   = {2007}
}

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45 pages