97-367 Krasovsky I.V.

Asymptotic Distance Between Zeros of Orthogonal Polynomials Satisfying Second-Order Differential Equations. (12K, LaTeX) Jun 22, 97

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Abstract. There is a simple way to find the distance between zeros of orthogonal polynomials (in the limit as the degree of a polynomial becomes large) if the latter satisfy second-order differential equations. The proposed approach is based on application of a polynomial ansatz to the differential equation. As an example, the classical orthogonal polynomials are considered.

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