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Normal Light Interior Functions Defined in the Unit Disk

Published online by Cambridge University Press:  22 January 2016

J.H. Mathews*
Affiliation:
Michigan State University and California State College at Fullerton
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Let D be the unit disk, C the unit circle, and f a continuous function from D into the Riemann sphere W. We say that f is normal if f is uniformly continuous with respect to the non-Euclidean hyperbolic metric in D and the chordal metric in W.

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Research Article
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Copyright © Editorial Board of Nagoya Mathematical Journal 1970