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Asymptotic Values Along Julia Rays

Published online by Cambridge University Press:  20 November 2018

P. M. Gauthier  and
J. S. Hwang
P. M. Gauthier
Affiliation:
Université de Montréal, Montréal, Québec
J. S. Hwang
Affiliation:
McMaster University, Hamilton, Ontario
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Let ƒ be a function meromorphic in the finite complex plane C. If for some number θ, 0 ≦ θ < 2 π, the family, fr(z) = f(reθz), is not normal at z = 1, then the ray arg z = θ is called a Julia ray. Such a ray has the property that in every sector containing it, F assumes every value infinitely often with at most two exceptions. Many authors have taken this property as the definition of a Julia ray.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 28 , Issue 6 , 01 December 1976 , pp. 1210 - 1215
Copyright
Copyright © Canadian Mathematical Society 1976

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