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Linear Perturbations of the Classical Orthogonal Polynomials which are Eigenfunctions of Linear Differential Operators

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Advanced Problems in Constructive Approximation

Part of the book series: ISNM International Series of Numerical Mathematics ((ISNM,volume 142))

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Abstract

In this paper we consider polynomials orthogonal with respect to an inner product which consists of the inner product of the classical orthogonal polynomials combined with some perturbation and we give a survey of the work done to derive linear differential operators having these orthogonal polynomials as eigenfunctions.

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Author information

Authors and Affiliations

  1. Department of Applied Mathematical Analysis, Delft University of Technology, Mekelweg 4, 2628CD, Delft, The Netherlands

    H. Bavinck

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  1. H. Bavinck
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Editors and Affiliations

  1. Mathematical Institute, Justus-Liebig University, Arndtstr. 2, D-35392, Giessen, Germany

    Martin D. Buhmann

  2. Institute of Applied Mathematics, University of Dortmund, Vogelpothsweg 87, D-44221, Dortmund, Germany

    Detlef H. Mache

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© 2002 Birkhäuser Verlag Basel

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Bavinck, H. (2002). Linear Perturbations of the Classical Orthogonal Polynomials which are Eigenfunctions of Linear Differential Operators. In: Buhmann, M.D., Mache, D.H. (eds) Advanced Problems in Constructive Approximation. ISNM International Series of Numerical Mathematics, vol 142. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7600-1_1

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  • DOI: https://doi.org/10.1007/978-3-0348-7600-1_1

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-7602-5

  • Online ISBN: 978-3-0348-7600-1

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