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DARBOUX TRANSFORMS AND ORTHOGONAL POLYNOMIALS
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 Title & Authors
DARBOUX TRANSFORMS AND ORTHOGONAL POLYNOMIALS
Yoon, Gang-Joon;
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 Abstract
We give a new interpretation of Darboux transforms in the context of orthogonal polynomials and find conditions in or-der for any Darboux transform to yield a new set of orthogonal polynomials. We also discuss connections between Darboux trans-forms and factorization of linear differential operators which have orthogonal polynomial eigenfunctions.
 Keywords
Darboux transform;orthogonal polynomials;differential equations;
 Language
English
 Cited by
1.
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13.
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OPUC, CMV matrices and perturbations of measures supported on the unit circle, Linear Algebra and its Applications, 2015, 485, 305  crossref(new windwow)
15.
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16.
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Orthogonal Polynomials Satisfying Higher-Order Difference Equations, Constructive Approximation, 2012, 36, 3, 459  crossref(new windwow)
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Darboux transformations for CMV matrices, Advances in Mathematics, 2016, 298, 122  crossref(new windwow)
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Geronimus spectral transforms and measures on the complex plane, Journal of Computational and Applied Mathematics, 2008, 219, 2, 441  crossref(new windwow)
23.
Analytic properties of Laguerre-type orthogonal polynomials, Integral Transforms and Special Functions, 2011, 22, 2, 107  crossref(new windwow)
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