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On Tangential Principal Cluster Sets of Normal Meromorphic Functions

Published online by Cambridge University Press:  22 January 2016

Theodore A. Vessey
Theodore A. Vessey*
Affiliation:
University of Wisconsin-Milwaukee, Milwaukee, Wisconsin, U.S.A.
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Let w = f(z) be a normal meromorphic function defined in the upper half plane U = {Im(z) >0}. We recall that a meromorphic function f(z) is normal in U if the family {f(S(z))}, where z′ = S(z) is an arbitrary one-one conformal mapping of U onto U, is normal in the sense of Montel. It is the purpose of this paper to state some results on the behavior of f(z) on curves which approach a point x0 on the real axis R with a fixed (finite) order of contact q at x0.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 40 , December 1970 , pp. 133 - 137
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1970

References

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