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The three-separated-arc property of the modular function
Published online by Cambridge University Press: 22 January 2016
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Let D be the open unit disk and Γ be the unit circle in the complex plane, and denote the Riemann sphere by Ω. If f(z) is a function defined on D with values belonging to Ω, if ζ ∈Γ, and if Λ is an arc at ζ then C∈(f, ζ) denotes the cluster set of f at ζ along Λ. If there exist three mutually exclusive arcs Λ1, Λ2, Λ3 at ζ such that
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1976