ANGULAR VALUE DISTRIBUTION CONCERNING SHARED VALUES

作者:Pan, Biao*; Lin, Weichuan
来源:Rocky Mountain Journal of Mathematics, 2015, 45(6): 1919-1935.
DOI:10.1216/RMJ-2015-45-6-1919

摘要

In this paper, we investigate the number of sharing values of a meromorphic function and its derivative in one angular domain instead of the whole complex plane and obtain the following results: Let f be a meromorphic function of lower order > 2 in the complex plane. Then there exists a direction H: arg z = theta(0) (0 <= theta(0) < 2 pi) such that for any positive number epsilon, f and f' share at most two distinct finite values without counting multiplicities in the angular region {z vertical bar larg z - theta(0)vertical bar < epsilon}. This improve a result of Weichuan and Mori.

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