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

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6 papers · 1 filter

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.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.CA2009

Asymptotic behavior and zero distribution of Carleman orthogonal polynomials

Peter Dragnev, Erwin Miña-Díaz

Let $L$ be an analytic Jordan curve and let ${p_{n} (z)}_{n = 0}^{\infty}$ be the sequence of polynomials that are orthonormal with respect to the area measure over the interior of $L$ .…

math.CA2007★ 14 cited

An expansion for polynomials orthogonal over an analytic Jordan curve

Erwin Miña-Díaz

We consider polynomials that are orthogonal over an analytic Jordan curve L with respect to a positive analytic weight, and show that each such polynomial of sufficiently large deg…

math.CA2007★ 5 cited

On the asymptotic behavior of Faber polynomials for domains with piecewise analytic boundary

Erwin Miña-Díaz

For a function g(w) analytic and univalent in {w:1<|w|<\infty} with a simple pole at \infty and a continuous extension to {w:|w|\geq 1}, we consider the Faber polynomials F_n(z), n…