E. A. Rakhmanov

activity

20102025

most citedOn the convergence on nonlinear Padé--Chebyshev approximations to the multivalued analytic functions, variation of equilibrium energy and

S

-property of stationary compacts

17 citations · 18 across the 4 of their papers we have counts for

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4 papers · 1 filter

math.CA2025★ 1 cited

Weighted equilibrium and the flow of derivatives of polynomials

Andrei Martinez-Finkelshtein, Evgenii A. Rakhmanov

Given a sequence of polynomials $Q_{n}$ of degree $n$ with zeros on $[- 1, 1]$ , we consider the triangular table of derivatives $Q_{n, k} (x) = d^{k} Q_{n} (x) / d x^{k}$ . Under the assumption th…

math.CA2024

Flow of the zeros of polynomials under iterated differentiation

Andrei Martinez-Finkelshtein, Evgenii A. Rakhmanov

For a monic polynomial $Q_{n}$ of degree $n$ , let $Q_{n, k}$ be its $k$ -th derivative normalized to be monic. Under the only assumption that the sequence ${Q_{n}}$ has a weak* limiti…

math.CA2015

Asymptotics of type I Hermite-Padé polynomials for semiclassical functions

Andrei Martínez-Finkelshtein, Evgenii A. Rakhmanov, Sergeiy P. Suetin

Type I Hermite--Padé polynomials for a set of functions $f_{0}, f_{1}, ..., f_{s}$ at infinity, $Q_{n, 0}$ , $Q_{n, 1}$ , ..., $Q_{n, s}$ , is defined by the asymptotic condition $$ R_n(z):=\b…

math.CA2011

Heine, Hilbert, Pade, Riemann, and Stieltjes: a John Nuttall's work 25 years later

Andrei Martinez-Finkelshtein, Evgenii A. Rakhmanov, Sergey P. Suetin

In 1986 J. Nuttall published in Constructive Approximation the paper "Asymptotics of generalized Jacobi polynomials", where with his usual insight he studied the behavior of the de…