Carath\'eodory convergence and the conformal type problem
Complex Variables
2024-12-10 v1
Abstract
We study Carath\'eodory convergence for open, simply connected surfaces spread over the sphere and, in particular, provide examples demonstrating that in the Speiser class the conformal type can change when two singular values collide.
Cite
@article{arxiv.2412.05995,
title = {Carath\'eodory convergence and the conformal type problem},
author = {Alexandre Eremenko and Sergei Merenkov},
journal= {arXiv preprint arXiv:2412.05995},
year = {2024}
}
Comments
16 pages, 3 figures