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2012-10-15

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/42886

On the configuration of Herman rings of meromorphic functions

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Abstract

We prove some results concerning the possible configuration s of Herman rings for transcendental meromorphic functions. We show that one pole is enough to obtain cycles of Herman rings of arbitrary period a nd give a sufficient condition for a configuration to be realizable.

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http://dx.doi.org/10.1016/j.jmaa.2012.05.005

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Funcions de variables complexes, Teoria ergòdica

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Functions of complex variables, Ergodic theory

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PETER, Jörn and FAGELLA RABIONET, Núria. On the configuration of Herman rings of meromorphic functions. Journal of Mathematical Analysis and Applications. 2012. Vol. 394, num. 2, pags. 458-467. ISSN 0022-247X. [consulted: 13 of October of 2026]. Available at: https://hdl.handle.net/2445/42886

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