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• W2024951693 abstract "Transformations of the measure of orthogonality for orthogonal polynomials, namely Freud transformations, are considered. Jacobi matrix of the recurrence coefficients of orthogonal polynomials possesses an isospectral deformation under these transformations. Dynamics of the coefficients are described by generalized Toda equations. The classical Toda lattice equations are the simplest special case of dynamics of the coefficients under the Freud transformation of the measure of orthogonality. Also dynamics of Hankel determinants, its minors and other notions corresponding to the orthogonal polynomials are studied." @default.
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• W2024951693 date "1997-02-01" @default.
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• W2024951693 title "Toda-type differential equations for the recurrence coefficients of orthogonal polynomials and Freud transformation" @default.
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• W2024951693 doi "https://doi.org/10.1016/s0377-0427(96)00138-0" @default.
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