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Mathematics of the USSR-Sbornik, 1984, Volume 47, Issue 1, Pages 155–193
DOI: https://doi.org/10.1070/SM1984v047n01ABEH002636 (Mi sm2843) 		 
This article is cited in 105 scientific papers (total in 105 papers)

On asymptotic properties of polynomials orthogonal on the real axis

E. A. Rakhmanov
English version PDF (1506 kB) Citations (105) Russian version article
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DOI: https://doi.org/10.1070/SM1984v047n01ABEH002636
Abstract: This paper contains a number of results on the logarithmic asymptotics and the asymptotic distribution of zeros of polynomials that are orthonormal on the real axis $\mathbf R=(-\infty,+\infty)$ or semiaxis $\mathbf R_+=[0,+\infty)$ with respect to weight functions of the type $\exp(-|x|^{\lambda})$.
Bibliography: 10 titles.
Received: 15.11.1981
Bibliographic databases:
UDC: 517.5
MSC: Primary 41A60, 42C05; Secondary 26C10, 30C15, 30E15, 31A99, 33A30, 33A65
Language: English
Original paper language: Russian
Citation: E. A. Rakhmanov, “On asymptotic properties of polynomials orthogonal on the real axis”, Math. USSR-Sb., 47:1 (1984), 155–193
Citation in format AMSBIB
\Bibitem{Rak82}
\by E.~A.~Rakhmanov
\paper On asymptotic properties of polynomials orthogonal on the real axis
\jour Math. USSR-Sb.
\yr 1984
\vol 47
\issue 1
\pages 155--193
\mathnet{http://mi.mathnet.ru//eng/sm2843}
\crossref{https://doi.org/10.1070/SM1984v047n01ABEH002636}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=675192}
\zmath{https://zbmath.org/?q=an:0522.42018|0509.42029}
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    • This publication is cited in the following 105 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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