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Nonclassical Orthogonal Polynomials as Solutions to Second Order Differential Equations

Published online by Cambridge University Press:  20 November 2018

Lance L. Littlejohn  and
Samuel D. Shore
Lance L. Littlejohn
Affiliation:
Department of Mathematics, University Park, Pennsylvania 16802
Samuel D. Shore
Affiliation:
Department of Mathematics, University of New Hampshire, Durham, NH 03824
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Abstract

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One of the more popular problems today in the area of orthogonal polynomials is the classification of all orthogonal polynomial solutions to the second order differential equation:

In this paper, we show that the Laguerre type and Jacobi type polynomials satisfy such a second order equation.

Keywords

33A65
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 25 , Issue 3 , 01 September 1982 , pp. 291 - 295
Copyright
Copyright © Canadian Mathematical Society 1982

References

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