Abstract
It is proved that the rational maps in the family {z → z m+λ/z d: λ ∈ ℂ\{0}} for integers m, d ≥ 2 have no Herman rings.
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Xiao, Y., Qiu, W. The rational maps F λ (z) = z m + λ/z d have no Herman rings. Proc Math Sci 120, 403–407 (2010). https://doi.org/10.1007/s12044-010-0044-x
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DOI: https://doi.org/10.1007/s12044-010-0044-x