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Itogi Nauki i Tekhniki. Seriya "Matematicheskii Analiz", 1977, Volume 15, Pages 5–82
(Mi intm42)
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This article is cited in 20 scientific papers (total in 20 papers)
V. A. Steklov's problem in the theory of orthogonal polynomials
P. K. Suetin
Abstract:
One considers the asymptotic properties of orthogonal polynomials of various types depending on the properties and the singularities of the weight function and of the orthogonality line. One gives conditions for the boundedness of the orthogonal polynomials on some set or on the entire orthogonality line, asymptotic formulas for them, and various growth estimates in the case of singularities of the weight function and of the contour. One presents some methods for the investigation of the asymptotic properties of the orthogonal polynomials.
Citation:
P. K. Suetin, “V. A. Steklov's problem in the theory of orthogonal polynomials”, Itogi Nauki i Tekhn. Ser. Mat. Anal., 15, VINITI, Moscow, 1977, 5–82; J. Soviet Math., 12:6 (1979), 631–682
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https://www.mathnet.ru/eng/intm42 https://www.mathnet.ru/eng/intm/v15/p5
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