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arXiv 2011.05899math.CV

Meromorphic functions with three radially distributed values

Walter Bergweiler, Alexandre Eremenko

英文摘要:

We consider transcendental meromorphic functions for which the zeros, 1-points and poles are distributed on three distinct rays. We show that such functions exist if and only if the rays are equally spaced. We also obtain a normal family analogue of this result.

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