The three-separated-arc property of the modular function
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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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1970 ◽
Vol 40
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pp. 213-220
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1969 ◽
Vol 35
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pp. 151-157
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1969 ◽
Vol 34
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pp. 105-119
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1966 ◽
Vol 18
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pp. 256-264
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