activity
20152022
most citedOn the limit zero distribution of type I Hermite-Padé polynomials

8 citations · 17 across the 10 of their papers we have counts for

collaborators

14 papers

math.CV2022

On Some Algebraic Properties of Hermite--Padé Polynomials

Sergey P. Suetin

Let be a tuple of series in nonnegative powers of , . It is supposed that the tuple is in "general position". We give a construction of typ…

math.CV20213 cited

Maximum Principle and Asymptotic Properties of Hermite--Padé Polynomials

Sergey P. Suetin

In the paper, we discuss how it would be possible to succeed in Stahl's novel approach, 1987--1988, to explore Hermite--Padé polynomials based on Riemann surface properties. In par…

math.CV2021

A direct proof of Stahl's theorem for a generic class of algebraic functions

Sergey P. Suetin

Under the assumption of the existence of Stahl's -compact set we give a short proof of the limit zeros distribution of Padé polynomials and convergence in capacity of diagonal P…

math.CV20211 cited

Two examples based on the properties of discrete measures

Sergey P. Suetin

In the paper we represent two examples which are based on the properties of discrete measures. In the first part of the paper we prove that for each probability measure , $\oper…

math.CV20213 cited

Tschebyshev-Padé approximations for multivalued functions

Evguenii A. Rakhmanov, Sergey P. Suetin

We discuss the relation between the linear Tschebyshev-Padé approximations to analytic function and the diagonal type I Hermite-Padé polynomials for the tuple of functions $[1,…

math.CV20212 cited

Structure of the Nuttall partition for some class of four-sheeted Riemann surfaces

N. R. Ikonomov, S. P. Suetin

The structure of a Nuttall partition into sheets of some class of four-sheeted Riemann surfaces is studied. The corresponding class of multivalued analytic functions is a special c…