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Non-Essential Cluster Values and Normal Functions

Published online by Cambridge University Press:  22 January 2016

C. L. Belna*
Affiliation:
Wright State University, Dayton, Ohio 45431
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We consider continuous functions f which map the open unit disk D into the Riemann sphere W. For a point ζ on the unit circle C, we say that χ is a chord at ζ if χ is a chord of C having one endpoint at ζ and that Δ is a Stolz angle at ζ if Δ is a Stolz angle with vertex ζ. Suppose S denotes either a chord at ζ, a Stolz angle at ζ, or D.

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Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1972