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 Mat. Sb. (N.S.), 1982, Volume 119(161), Number 2(10), Pages 163–203 (Mi msb2843)

On asymptotic properties of polynomials orthogonal on the real axis

E. A. Rakhmanov

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.

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English version:
Mathematics of the USSR-Sbornik, 1984, 47:1, 155–193

Bibliographic databases:

UDC: 517.5
MSC: Primary 41A60, 42C05; Secondary 26C10, 30C15, 30E15, 31A99, 33A30, 33A65

Citation: E. A. Rakhmanov, “On asymptotic properties of polynomials orthogonal on the real axis”, Mat. Sb. (N.S.), 119(161):2(10) (1982), 163–203; 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 Mat. Sb. (N.S.) \yr 1982 \vol 119(161) \issue 2(10) \pages 163--203 \mathnet{http://mi.mathnet.ru/msb2843} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=675192} \zmath{https://zbmath.org/?q=an:0522.42018|0509.42029} \transl \jour Math. USSR-Sb. \yr 1984 \vol 47 \issue 1 \pages 155--193 \crossref{https://doi.org/10.1070/SM1984v047n01ABEH002636} 

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