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The Set of Julia Points for Functions Omitting Two Values

Published online by Cambridge University Press:  20 November 2018

P. M. Gauthier  and
J. S. Hwang
P. M. Gauthier
Affiliation:
Département De Mathématiques, Université De Montréal, C.P. 6128 Montréal, P.Q., CanadaH3C 3J7
J. S. Hwang
Affiliation:
Centre De Recherches Mathématiques, Université De Montréal, C.P. 6128 Montréal, P.Q.CanadaH3C 3J7
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Let f be a function denned in the unit disk D(|z| < 1). For each point eiθ on the unit circle C(|z| = 1) and each subset S of D, we denote by Cs(f, eiθ) the cluster set of f at eiθ relative to s, i.e.

where N(eiθ, j) = {z∈D:|z-eiθ| <1/j}.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 19 , Issue 4 , 01 December 1976 , pp. 441 - 443
Copyright
Copyright © Canadian Mathematical Society 1976

References

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