Showing papers on "Julia set published in 1973"
TL;DR: In this paper, the Riemann sphere equipped the chordal metric X is represented by a Julia point for f, and the set of Julia points of f is defined by J(f).
Abstract: Let D = { z : | z | C = { z : | z | = 1}. If W denotes the Riemann sphere equipped the chordal metric X , let f : D → W be meromorphic. A chord T lying in D except for an endpoint γ ∈ C is called a Julia segment for f if for each Stolz angle Δ in D at γ which contains T, f assumes infinitely often in Δ all values of W with at most two exceptions. We call γ ∈ C a Julia point for f if every chord in D ending at γ is a Julia segment for f , and we denote by J(f) the set of Julia points of f .
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