51 citations · 98 across the 40 of their papers we have counts for
4 papers · 1 filter
Uniformity of Strong Asymptotics in Angelesco Systems
Maxim L. Yattselev
Let and be two complex-valued Borel measures on the real line such that and ${\rm d}μ_i(x) = -…
The non-linear steepest descent approach to the singular asymptotics of the sinh-Gordon reduction of the Painlevé III equation
Alexander R. Its, Kenta Miyahara, Maxim L. Yattselev
Motivated by the simplest case of tt*-Toda equations, we study the large and small asymptotics for of real solutions of the sinh-Godron Painlevé III() equation. Thes…
On Airy solutions of P and the complex cubic ensemble of random matrices, II
Ahmad Barhoumi, Pavel Bleher, Alfredo Deaño +1
We describe the pole-free regions of the one-parameter family of special solutions of P, the second Painlevé equation, constructed from the Airy functions. This is ac…
On an identity by Ercolani, Lega, and Tippings
Maxim L. Yattselev
In this note we prove that \[ j!\,2^N \, \binom{N+j-1}{j} \, {}_2F_1\left(\begin{matrix}-j,-2j \\ -N-j+1 \end{matrix};-1\right) = \sum_{l=0}^N \binom{N}{l}\prod_{i=0}^{j-1}2(2i+1+l…