Carathéodory convergence and the conformal type problem

Authors

  • Alexandre Eremenko Purdue University, Mathematics Department
  • Sergei Merenkov The City College of New York and CUNY Graduate Center, Department of Mathematics

DOI:

https://doi.org/10.54330/afm.176092

Keywords:

Riemann surface, type problem, Speiser class

Abstract

We study Carathédory 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.

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Published

2025-10-06

Issue

Vol. 50 No. 2 (2025)

Section

Articles

License

Copyright (c) 2025 Annales Fennici Mathematici

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Eremenko, A., & Merenkov, S. (2025). Carathéodory convergence and the conformal type problem. Annales Fennici Mathematici, 50(2), 563–575. https://doi.org/10.54330/afm.176092