On differential equations for Sobolev-type Laguerre polynomials

1999/08/27 by J. Koekoek, R. Koekoek, H. Bavinck
Mathematics · #math.CA #msc:33C45 #msc:34A35

paper · pdf

published as Trans. Amer. Math. Soc. 350 (1998) 347-393 · 45 pages

arxiv created 1999/08/27 · arxiv updated 2009/11/30

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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