On differential equations for Sobolev-type Laguerre polynomials (ResearchIndex)

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On differential equations for Sobolev-type Laguerre polynomials (1995) (Make Corrections)
J. Koekoek, R. Koekoek, H. Bavinck

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Abstract: The Sobolev-type Laguerre polynomials \Phi L ff;M;N n (x) \Psi 1 n=0 are orthogonal with respect to the inner product ! f; g ? = 1 \Gamma(ff + 1) Z 1 0 x ff e \Gammax f(x)g(x)dx + Mf(0)g(0) + Nf 0 (0)g 0 (0); where ff ? \Gamma1, M 0 and N 0. In 1990 the first and second author showed that in the case M ? 0 and N = 0 the polynomials are eigenfunctions of a unique differential operator of the form M 1 X i=1 a i (x)D i + xD 2 + (ff + 1 \Gamma x)D; where fa i (x)g 1... (Update)

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BibTeX entry: (Update)

@techreport{ koekoek95differential,
    author = "J. Koekoek and R. Koekoek and H. Bavinck",
    title = "On differential equations for Sobolev-type Laguerre polynomials",
    number = "DUT-TWI-95-79",
    address = "Delft, The Netherlands",
    year = "1995",
    url = "citeseer.ist.psu.edu/koekoek95differential.html" }

Citations (may not include all citations):
6 Meijer : A generalization of Laguerre polynomials (context) - Koekoek - 1993
6 Koekoek : On a differential equation for Koornwinder's gener.. (context) - Koekoek - 1991
5 Koekoek : On a difference equation for generalizations of Ch.. (context) - Bavinck - 1995
5 van Haeringen : Difference equations for generalized Meixner.. (context) - Bavinck - 1994
3 Delft University of Technology (context) - Koekoek, for et al. - 1991
1 Wellman : The symmetric form of the Koekoeks' Laguerre type .. (context) - Everitt, Littlejohn - 1995
1 Journal of Computational and Applied Mathematics (context) - Koekoek, for et al. - 1993
1 Littlejohn : Sobolev orthogonal polynomials and spectral dif.. (context) - Jung, Kwon et al.
1 Littlejohn : Differential equations and Sobolev orthogonalit.. (context) - Jung, Kwon et al.
1 Acta Mathematica Hungarica (context) - Bavinck, approach et al. - 1995
1 Faculty of Technical Mathematics and Informatics (context) - Bavinck, operator et al. - 1994

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