M. Yattselev

activity

20082026

most citedPade approximants for functions with branch points - strong asymptotics of Nuttall-Stahl polynomials

51 citations · 98 across the 40 of their papers we have counts for

collaborators

Showing 2016Show all

2 papers · 1 filter

math-ph2016★ 15 cited

Topological Expansion in the Complex Cubic Log-Gas Model. One-Cut Case

Pavel M. Bleher, Alfredo Deaño, Maxim Yattselev

We prove the topological expansion for the cubic log-gas partition function \[ Z_N(t)= \int_Γ\cdots\int_Γ\prod_{1\leq j<k\leq N}(z_j-z_k)^2 \prod_{k=1}^Ne^{-N\left(-\frac{z^3}{3}+t…

math.CA2016

Szegő-type asymptotics for ray sequences of Frobenius-Padé approximants

Alexander I. Aptekarev, Alexey I. Bogolubsky, Maxim L. Yattselev

Let $σ$ be a Cauchy transform of a possibly complex-valued Borel measure $σ$ and ${p_{n}}$ be a system of orthonormal polynomials with respect to a measure $μ$ , $\mathrm{su…