On the configuration of Herman rings of meromorphic functions |
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| Authors: | Núria Fagella Jörn Peter |
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| Institution: | 1. Departament de Matemàtica Aplicada i Anàlisi, Universitat de Barcelona, 08007 Barcelona, Spain;2. Mathematisches Seminar, Christian-Albrechts-Universität zu Kiel, 24098 Kiel, Germany |
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| Abstract: | We prove some results concerning the possible configurations of Herman rings for transcendental meromorphic functions. We show that one pole is enough to obtain cycles of Herman rings of arbitrary period and give a sufficient condition for a configuration to be realizable. |
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