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 2022Show all

3 papers · 1 filter

math.CA2022

On Smooth Perturbations of Chebyshëv Polynomials and $\partial ˉ$ -Riemann-Hilbert Method

Maxim L. Yattselev

$\partial ˉ$ -extension of the matrix Riemann-Hilbert method is used to study asymptotics of the polynomials $P_{n} (z)$ satisfying orthogonality relations \[ \int_{-1}^1 x^lP_n(x)\f…

math.CA2022

On $L_{R}^{2}$ -best rational approximants to Markov functions on several intervals

Maxim L. Yattselev

Let $f (z) = \int (z - x)^{- 1} d μ (x)$ , where $μ$ is a Borel measure supported on several subintervals of $(- 1, 1)$ with smooth Radon-Nikodym derivative. We study strong asymptotic beh…

math-ph2022

Investigation of the two-cut phase region in the complex cubic ensemble of random matrices

Ahmad Barhoumi, Pavel M. Bleher, Alfredo Deaño +1

We investigate the phase diagram of the complex cubic unitary ensemble of random matrices with the potential $V (M) = - \frac{1}{3} M^{3} + tM$ where $t$ is a complex parameter. As proven i…

On Smooth Perturbations of Chebyshëv Polynomials and ∂ˉ-Riemann-Hilbert Method

On LR2​-best rational approximants to Markov functions on several intervals

Investigation of the two-cut phase region in the complex cubic ensemble of random matrices

On Smooth Perturbations of Chebyshëv Polynomials and $\partial ˉ$ -Riemann-Hilbert Method

On $L_{R}^{2}$ -best rational approximants to Markov functions on several intervals