Erwin Miña-Díaz

activity

20072025

most citedAn expansion for polynomials orthogonal over an analytic Jordan curve

14 citations · 20 across the 8 of their papers we have counts for

collaborators

9 papers

math.CV2025

Chebyshev polynomials on equipotential curves

Erwin Miña-Díaz, Olof Rubin

For an analytic function $ϕ (z)$ with a Laurent expansion at $\infty$ of the form \begin{equation*} ϕ(z)=z+c_{0}+\frac{c_{1}}{z}+\frac{c_{2}}{z^{2}}+\cdots, \end{equation*} the Fabe…

math.CA2023

Orthogonal polynomials in weighted Bergman spaces

Erwin Miña-Díaz

Let $w$ be a weight on the unit disk $D$ having the form \[w(z)=|v(z)|^2\prod_{k=1}^s\left|\frac{z-a_k}{1-z\overline{a}_k}\right|^{m_k}\,,\quad m_k>-2,\ |a_k|<1,\] where $…

math.CA2019

Asymptotics of polynomials orthogonal over circular multiply connected domains

James Henegan, Erwin Miña-Díaz

Let $D$ be a domain obtained by removing, out of the unit disk ${z : ∣ z ∣ < 1}$ , finitely many mutually disjoint closed disks, and for each integer $n \geq 0$ , let $P_{n} (z) = z^{n} + \dots$ …

math.PR2017

Universality for conditional measures of the sine point process

Arno B. J. Kuijlaars, Erwin Miña-Díaz

The sine process is a rigid point process on the real line, which means that for almost all configurations $X$ , the number of points in an interval $I = [- R, R]$ is determined by th…

math.CA2014

On the leading coefficient of polynomials orthogonal over domains with corners

Erwin Miña-Díaz

Let $G$ be the interior domain of a piecewise analytic Jordan curve without cusps. Let ${p_{n}}_{n = 0}^{\infty}$ be the sequence of polynomials that are orthonormal over $G$ with resp…

math.CV2012★ 1 cited

Asymptotics of Carleman polynomials for level curves of the inverse of a shifted Zhukovsky transformation

Peter Dragnev, Erwin Miña-Díaz, Michael Northington

This paper complements the recent investigation of \cite{DM} on the asymptotic behavior of polynomials orthogonal over the interior of an analytic Jordan curve $L$ . We study the sp…