17 citations · 18 across the 4 of their papers we have counts for
5 papers
Weighted equilibrium and the flow of derivatives of polynomials
Andrei Martinez-Finkelshtein, Evgenii A. Rakhmanov
Given a sequence of polynomials of degree with zeros on , we consider the triangular table of derivatives . Under the assumption th…
Flow of the zeros of polynomials under iterated differentiation
Andrei Martinez-Finkelshtein, Evgenii A. Rakhmanov
For a monic polynomial of degree , let be its -th derivative normalized to be monic. Under the only assumption that the sequence has a weak* limiti…
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 at infinity, , , ..., , is defined by the asymptotic condition $$ R_n(z):=\b…
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…
On the convergence on nonlinear Padé--Chebyshev approximations to the multivalued analytic functions, variation of equilibrium energy and -property of stationary compacts
Andrei A. Gonchar, Evguenii A. Rakhmanov, Sergey P. Suetin
Some new results on the convergence of nonlinear diagonal Padé--Chebyshev approximations to multivalued analytic function given on the segment , are proved. We show that th…