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On the asymptotics of the ratio of orthogonal polynomials and convergence of multipoint Padé approximants

G. L. Lopes


Abstract: A theorem is proved on the asymptotics of the ratio of polynomials orthogonal with respect to varying weights (that depend on the degree of the polynomial).
Bibliography: 10 titles.

UDC: 517.53

MSC: 30E10, 33A65

Received: 07.09.1984

 English version: Mathematics of the USSR-Sbornik, 1987, 56:1, 207–219

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