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Julia directions of entire functions of smooth growth
Published online by Cambridge University Press: 22 January 2016
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Let f(z) be entire i.e. analytic in the finite whole plane Z. The order of f(z) is defined as
where A ray χ(θ) = {z = r·eiθ : 0 < r < + ∞} is called a Julia direction of f(z) if, in any open sector containing the ray, f(z) takes all values of Z, with at most one finite exceptional value, infinitely often.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1982
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