Itogi Nauki i Tekhniki. Seriya "Matematicheskii Analiz"
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Itogi Nauki i Tekhniki. Seriya "Matematicheskii Analiz", 1977, Volume 15, Pages 5–82 (Mi intm42)  

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.
English version:
Journal of Soviet Mathematics, 1979, Volume 12, Issue 6, Pages 631–682
DOI: https://doi.org/10.1007/BF01844488
Bibliographic databases:
UDC: 517.51+517.52/.56+517.56/.8
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Sue77}
\by P.~K.~Suetin
\paper V.~A.~Steklov's problem in the theory of orthogonal polynomials
\serial Itogi Nauki i Tekhn. Ser. Mat. Anal.
\yr 1977
\vol 15
\pages 5--82
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/intm42}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=493142}
\zmath{https://zbmath.org/?q=an:0427.42008|0473.42016}
\transl
\jour J. Soviet Math.
\yr 1979
\vol 12
\issue 6
\pages 631--682
\crossref{https://doi.org/10.1007/BF01844488}
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  • https://www.mathnet.ru/eng/intm/v15/p5
  • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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