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On differential equations for Sobolev-type Laguerre polynomials

J. Koekoek·R. Koekoek·H. Bavinck
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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.

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J. Koekoek, R. Koekoek, H. Bavinck. 1999-08-27. On differential equations for Sobolev-type Laguerre polynomials. https://arxiv.org/abs/math/9908145

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