51 citations · 98 across the 40 of their papers we have counts for
4 papers · 1 filter
Pade approximants for functions with branch points - strong asymptotics of Nuttall-Stahl polynomials
Alexander I. Aptekarev, Maxim L. Yattselev
Let f be a germ of an analytic function at infinity that can be analytically continued along any path in the complex plane deprived of a finite set of points, f \in\mathcal{A}(\bar…
Weighted Extremal Domains and Best Rational Approximation
Laurent Baratchart, Herbert Stahl, Maxim Yattselev
Let f be holomorphically continuable over the complex plane except for finitely many branch points contained in the unit disk. We prove that best rational approximants to f of degr…
Universality for ensembles of matrices with potential theoretic weights on domains with smooth boundary
Christopher D. Sinclair, Maxim L. Yattselev
We investigate a two-dimensional statistical model of N charged particles interacting via logarithmic repulsion in the presence of an oppositely charged compact region K whose char…
Asymptotics of Padé approximants to a certain class of elliptic-type functions
Laurent Baratchart, Maxim Yattselev
In this paper we investigate the question of uniform convergence of Padé approximants to elliptic functions that can be represented as Cauchy integrals of Dini-continuous non-vanis…