The rational maps F
λ
(z) = z
m
+ λ/z
d
have no Herman rings |
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Authors: | Yingqing Xiao Weiyuan Qiu |
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Institution: | 1. College of Mathematics and Economics, Hunan University, Changsha, 410082, China 2. School of Mathematical Sciences, Fudan University, Shanghai, 200433, China
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Abstract: | It is proved that the rational maps in the family {z → z m +λ/z d : λ ∈ ?\{0}} for integers m, d ≥ 2 have no Herman rings. |
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Keywords: | |
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