On asymptotic properties of polynomials orthogonal on the real axis
Sbornik. Mathematics, Tome 47 (1984) no. 1, pp. 155-193
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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.
@article{SM_1984_47_1_a9,
author = {E. A. Rakhmanov},
title = {On asymptotic properties of polynomials orthogonal on the real axis},
journal = {Sbornik. Mathematics},
pages = {155--193},
publisher = {mathdoc},
volume = {47},
number = {1},
year = {1984},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1984_47_1_a9/}
}
E. A. Rakhmanov. On asymptotic properties of polynomials orthogonal on the real axis. Sbornik. Mathematics, Tome 47 (1984) no. 1, pp. 155-193. http://geodesic.mathdoc.fr/item/SM_1984_47_1_a9/