E. Rakhmanov

activity

20032021

most citedOn asymptotic behavior of Heine-Stieltjes and Van Vleck polynomials

5 citations · 8 across the 2 of their papers we have counts for

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math.CA2009★ 5 cited

On asymptotic behavior of Heine-Stieltjes and Van Vleck polynomials

A. Martinez-Finkelshtein, E. A. Rakhmanov

We investigate the strong asymptotics of Heine-Stieltjes polynomials - polynomial solutions of a second order differential equations with complex polynomial coefficients. The solut…

math.CA2003

Asymptotic upper bounds for the entropy of orthogonal polynomials in the Szegő class

B. Beckermann, A. Martinez-Finkelshtein, E. A. Rakhmanov +1

We give an asymptotic upper bound as $n \to \infty$ for the entropy integral $E_{n} (w) = - \int p_{n}^{2} (x) lo g (p_{n}^{2} (x)) w (x) d x,$ where $p_{n}$ is the $n$ th degree orthonormal polynomial w…