Level curves of functions of bounded characteristic

Author:

Barth Karl F.,Clunie James G.

Abstract

The authors construct a meromorphic function of bounded characteristic whose level set for 1 contains a sequence of closed Jordan curves which surround the origin and which converge to all of the unit circle. Some sufficient conditions are given for each level set of a meromorphic function of bounded characteristic to end at points.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference5 articles.

1. Asymptotic values of meromorphic functions;Barth, K. F.;Michigan Math. J.,1966

2. On the linear and angular cluster sets of functions meromorphic in the unit circle;Collingwood, E. F.;Acta Math.,1954

3. Sets of radial continuity of analytic functions;Herzog, Fritz;Pacific J. Math.,1954

4. Asymptotic values of holomorphic functions;MacLane, G. R.;Rice Univ. Stud.,1963

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Obituary: James (Jim) Gourlay Clunie 1926-2013;Bulletin of the London Mathematical Society;2015-05-18

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