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The Krall Polynomials as Solutions to a Second Order Differential Equation

Published online by Cambridge University Press:  20 November 2018

Lance L. Littlejohn*
Affiliation:
Department of Mathematics, Computer Science, and Systems Design, The University of Texas at San Antonio, 78285
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Abstract

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A popular problem today in orthogonal polynomials is that of classifying all second order differential equations which have orthogonal polynomial solutions. We show that the Krall polynomials satisfy a second order equation of the form

1.1

Keywords

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Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1983