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• W3102604454 abstract "Starting from degree N solutions of a time dependent Schroedinger-like equation for classical orthogonal polynomials, a linear matrix equation describing perturbations around the N zeros of the polynomial is derived. The matrix has remarkable Diophantine properties. Its eigenvalues are independent of the zeros. The corresponding eigenvectors provide the representations of the lower degree (0,1,...,N-1) polynomials in terms of the zeros of the degree N polynomial. The results are valid universally for all the classical orthogonal polynomials, including the Askey scheme of hypergeometric orthogonal polynomials and its q-analogues." @default.
• W3102604454 created "2020-11-23" @default.
• W3102604454 creator A5044558856 @default.
• W3102604454 date "2015-04-01" @default.
• W3102604454 modified "2023-09-24" @default.
• W3102604454 title "Perturbations around the zeros of classical orthogonal polynomials" @default.
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• W3102604454 doi "https://doi.org/10.1063/1.4918707" @default.
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