Centralizers of finite Blaschke products |
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| Authors: | Carlos Arteaga |
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| Affiliation: | (1) Departamento de Matematica-ICEX, Universidade Federal de Minas Gerais, Av. Antonio Carlos 6627, 31270-970 Belo Horizonte-MG, Brazil |
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| Abstract: | In this article we consider the set of finite Blaschke productsF of degreen>1. We give sufficient conditions forF to commute only with their own powers among all rational functions of the Riemann sphere, in terms of the derivate around the fixed points.The author was partially supported by CNPq, Brazil. |
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| Keywords: | Blaschke products centralizers rational functions |
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