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.