Equilibrium measure and the~distribution of zeros of the~extremal polynomials of a~discrete variable
Sbornik. Mathematics, Tome 187 (1996) no. 8, pp. 1213-1228

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The problem of the limiting distribution of the zeros of the polynomial extremal in the $L^2$-metric with respect to a measure with finitely many points of growth is studied under the assumption that the degree $n$ of this polynomial and the number $N$ ($N>n$) of points of growth of the measure approach infinity so that $n/N\to c\in (0,1)$.
@article{SM_1996_187_8_a3,
     author = {E. A. Rakhmanov},
     title = {Equilibrium measure and the~distribution of zeros of the~extremal polynomials of a~discrete variable},
     journal = {Sbornik. Mathematics},
     pages = {1213--1228},
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     volume = {187},
     number = {8},
     year = {1996},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1996_187_8_a3/}
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E. A. Rakhmanov. Equilibrium measure and the~distribution of zeros of the~extremal polynomials of a~discrete variable. Sbornik. Mathematics, Tome 187 (1996) no. 8, pp. 1213-1228. http://geodesic.mathdoc.fr/item/SM_1996_187_8_a3/