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Existence of Perfect Picard Sets
Published online by Cambridge University Press: 22 January 2016
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Let E be a totally disconnected compact set in the z-plane and let Ω be its complement with respect to the extended 2-plane. Then Ω is a domain and we can consider a single-valued meromorphic function f(z) in Ω which has a transcendental singularity at each point ζ ∊ E. Suppose that E is a null-set of the class W in the sense of Kametani [4] (= the class NB in the sense of Ahlfors and Beurling [1]).
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1966
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