Darboux transforms and orthogonal lynomials

We give a new interpretation of Darboux transforms in the contextof orthogonal polynomials and find conditions in order for anyDarboux transform to yield a new set of orthogonal polynomials.We also discuss connections between Darboux transforms andfactorization of linear differential operators which...

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Bibliographic Details
Published in:Taehan Suhakhoe hoebo 2002, 39(3), , pp.359-376
Main Author: 윤강준
Format: Article
Language:Korean
Subjects:
수학
Online Access:Get full text
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Summary:We give a new interpretation of Darboux transforms in the contextof orthogonal polynomials and find conditions in order for anyDarboux transform to yield a new set of orthogonal polynomials.We also discuss connections between Darboux transforms andfactorization of linear differential operators which haveorthogonal polynomial eigenfunctions. KCI Citation Count: 0
ISSN:1015-8634
2234-3016