Darboux transforms and orthogonal polynomials
Bull. Korean Math. Soc. 2002 Vol. 39, No. 3, 359-376
Printed September 1, 2002
Gang Joon Yoon
KAIST
Abstract : We give a new interpretation of Darboux transforms in the context of orthogonal polynomials and find conditions in order for any Darboux transform to yield a new set of orthogonal polynomials. We also discuss connections between Darboux transforms and factorization of linear differential operators which have orthogonal polynomial eigenfunctions.
Keywords : Darboux transform, orthogonal polynomials, differential equations
MSC numbers : 33C45, 34A99
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