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Differential Equation for Classical-Type Orthogonal Polynomials

Published online by Cambridge University Press:  20 November 2018

A. Ronveaux  and
F. Marcellan
A. Ronveaux
Affiliation:
Math. Phys. Facultés Universitaires Notre-Dame de la Paix 5000 Namur, Belgium
F. Marcellan
Affiliation:
Departamento de Matematica Aplicada E.T.S. Ingenieros Industrials, Universidad Politecnica 28006 Madrid, España
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Abstract

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The second order differential equation of Littlejohn-Shore for Laguerre type orthogonal polynomials is generalized in two ways. First the positive Dirac mass can be situated at any point and secondly the weight can be any classical weight modified by an arbitrary number of Dirac distributions.

Keywords

33A6542C05
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 32 , Issue 4 , 01 December 1989 , pp. 404 - 411
Copyright
Copyright © Canadian Mathematical Society 1989

References

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