Denisov's theorem on recurrence coefficients

Authors:
Paul Nevai;Vilmos Totik
Affiliations:
Department of Mathematics, Ohio State University, Columbus, OH;Bolyai Institute, University of Szeged, Szeged, Aradi v. tere 1 6720, Hungary and Department of Mathematics, University of South Florida, 4202 E. Fowler Ave. PHY 114, Tampa, FL
Venue:
Journal of Approximation Theory
Year:
2004

Citing 2
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Ratio and relative asymptotics of polynomials orthogonal with respect to varying Denisov-type measures

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Some asymptotic properties for orthogonal polynomials with respect to varying measures

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Otto Blumenthal (1876--1944) in retrospect

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Ratio and relative asymptotics of polynomials orthogonal with respect to varying Denisov-type measures

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Painlevé V and a Pollaczek-Jacobi type orthogonal polynomials

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Abstract

Recently Denisov (aka Dennisov) (Proc. Amer. Math. Soc.) has proved the following remarkable extension of Rakhmanov's theorem (Math. USSR-Sb. 46 (1983) 105: Russian Original, Mat. Sb. 118 (1982) 104) (see also (Mate et al., Constr. Approx., 1 (1985) 63: Nevai, J. Approx. Theory 65 (1991) 322)) which was conjectured in (Nevai, in: Approximation Theory IV. Vol. II, Academic Press, New York. 1989, pp. 449-489, (Conjecture 2.7, p. 453).