The Krall Polynomials as Solutions to a Second Order Differential Equation
- 1 December 1983
- journal article
- Published by Canadian Mathematical Society in Canadian Mathematical Bulletin
- Vol. 26 (4) , 410-417
- https://doi.org/10.4153/cmb-1983-068-9
Abstract
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 form1.1Keywords
This publication has 3 references indexed in Scilit:
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- Orthogonal polynomials satisfying fourth order differential equationsProceedings of the Royal Society of Edinburgh: Section A Mathematics, 1981
- Certain differential equations for Tchebycheff polynomialsDuke Mathematical Journal, 1938