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On the asymptotic boundary behavior of functions analytic in the unit disk

Published online by Cambridge University Press:  22 January 2016

James R. Choike
James R. Choike*
Affiliation:
Department of Mathematics, Oklahoma State University
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In [8] a necessary and sufficient condition was given for determining the equivalence of two asymptotic boundary paths for an analytic function w = f(p) on a Riemann surface F. In this paper we give a necessary and sufficient condition for determining the nonequivalence of two asymptotic boundary paths for f(z) analytic in |z| < R, 0 < R ≤ + ∞. We shall, also, illustrate some applications of the main result and examine a class of functions introduced by Valiron.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 67 , August 1977 , pp. 1 - 13
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1977

References

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