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On the configuration of Herman rings of meromorphic functions

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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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Journal of Mathematical Analysis and Applications, 2012, vol. 394, num. 2, p. 458-467

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Articles publicats en revistes (Matemàtiques i Informàtica)

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On the configuration of Herman rings of meromorphic functions