Geodesic
On Steklov's conjecture in the theory of orthogonal polynomials
Sbornik. Mathematics, Tome 36 (1980) no. 4, pp. 549-575

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This paper constructs an example of a weight function $\rho(x)$ on the interval $[-1, 1]$, such that $\rho(x)\geqslant\delta > 0$, $x\in[-1, 1]$, whereas the corresponding sequence of orthonormal polynomials is unbounded at $0$. Bibliography: 6 titles. 
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     author = {E. A. Rakhmanov},
     title = {On {Steklov's} conjecture in the theory of orthogonal polynomials},
     journal = {Sbornik. Mathematics},
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     volume = {36},
     number = {4},
     year = {1980},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1980_36_4_a6/}
}
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E. A. Rakhmanov. On Steklov's conjecture in the theory of orthogonal polynomials. Sbornik. Mathematics, Tome 36 (1980) no. 4, pp. 549-575. http://geodesic.mathdoc.fr/item/SM_1980_36_4_a6/