3 papers
math.FA2022
An Optimal Approximation Problem For Free Polynomials
Palak Arora, Meric Augat, Michael Jury +1
Motivated by recent work on optimal approximation by polynomials in the unit disk, we consider the following noncommutative approximation problem: for a polynomial in freel…
math.CV2021
Zero-free regions near a line
Kelly Bickel, J. E. Pascoe, Meredith Sargent
We analyze metrics for how close an entire function of genus one is to being real rooted. These metrics arise from truncated Hankel matrix positivity-type conditions built from pow…
math.FA2018
Escaping nontangentiality: Towards a controlled tangential amortized Julia-Carathéodory theory
J. E. Pascoe, Meredith Sargent, Ryan Tully-Doyle
Let be a complex analytic function. The Julia quotient is given by the ratio between the distance of to the boundary of and the distance of to t…