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Ladder operators and differential equations for orthogonal polynomials

✍ Scribed by Chen, Yang; Ismail, Mourad E H


Book ID
121245269
Publisher
Institute of Physics
Year
1997
Tongue
English
Weight
168 KB
Volume
30
Category
Article
ISSN
0305-4470

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In 1929, S. Bochner identified the families of polynomials which are eigenfunctions of a second-order linear differential operator. What is the appropriate generalization of this result to bivariate polynomials? One approach, due to Krall and Sheffer in 1967 and pursued by others, is to determine wh