On totally ramified values
About: This article is published in Tohoku Mathematical Journal. The article was published on 01 Jan 1976. and is currently open access.
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Citations
Exceptionally ramified meromorphic functions with a nonenumerable set of essential singularities
TL;DR: In this article, the authors studied the behaviour of meromorphic functions with non-isolated essential singularities and generalizations of the Gross' result, and showed that such functions cannot be rammed.
References
Value distribution theory
Leo Sario,清 能代 +1 more
- 01 Jan 1966
TL;DR: In this article, Nevanlinna Theory and Borel Directions of Meromorphic Functions are discussed and a value distribution of meromorphic functions together with their derivative functions is discussed, and the spread relation and its applications.
708
On exceptional values of meromorphic functions with the set of singularities of capacity zero.
TL;DR: In this paper, it was shown that for any Zfσ-set K 2 of capacity zero in the w-plane, there exists a compact set E of capacity 0 in the z-plane and a single-valued meromorphic function fiz on its complementary domain Ω such that fiz) has an essential singularity at each point of E and such that the set of exceptional values at each singularity coincides with K. The existence of such a perfect set E by means of a Cantor set was shown.