Herman Rings of Elliptic Functions

Author:

Moreno Rocha MónicaORCID

Funder

CONACYT

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference15 articles.

1. Ahlfors, L.V.: Conformal Invariants. Topics in Geometric Function Theory. xii+162 pp. AMS Chelsea Publishing, Providence (2010)

2. Bergweiler, W.: Iteration of meromorphic functions. Bull. Am. Math. Soc. (N.S.) 29(2), 151–188 (1993)

3. Branner, B., Fagella, N.: Quasiconformal Surgery in Holomorphic Dynamics. pp. 428+xvii. Cambridge Studies in Advanced Mathematics, vol. 141. Cambridge University Press, Cambridge (2014)

4. Clemons, J., Koss, L.: Elliptic functions with connected Julia sets (preprint) (2015)

5. Domínguez, P., Fagella, N.: Existence of Herman rings for meromorphic functions. Complex Var. Theor. Appl. 49(12), 851–870 (2007)

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1. Toral band Fatou components for the Weierstrass ℘ function;Contemporary Mathematics;2024

2. Cantor and connected Julia sets of the parameterized Dixon elliptic functions;Journal of Difference Equations and Applications;2023-03-04

3. Single and double toral band Fatou components in meromorphic dynamics;Conformal Geometry and Dynamics of the American Mathematical Society;2023-02-16

4. On the formulas of meromorphic functions with periodic Herman rings;Mathematische Annalen;2021-11-08

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