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Julia directions of entire functions of smooth growth

Published online by Cambridge University Press:  22 January 2016

H. Yoshida
H. Yoshida*
Affiliation:
Department of Mathematics, Faculty of Science, Chiba University, Yayoi-cho, Chiba 260Japan
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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.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 87 , November 1982 , pp. 41 - 57
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1982

References

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