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

  • H. Bavinck
Conference paper
Part of the ISNM International Series of Numerical Mathematics book series (ISNM, volume 142)

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.

Keywords

Orthogonal Polynomial Inversion Method Finite Order Jacobi Polynomial Laguerre Polynomial 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Verlag Basel 2002

Authors and Affiliations

  • H. Bavinck
    • 1
  1. 1.Department of Applied Mathematical AnalysisDelft University of TechnologyDelftThe Netherlands

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