Meromorphic Functions Sharing Three Values with Their Linear Differential Polynomials in an Angular Domain

被引：0
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作者：
J.-F. Chen
机构：
[1] Fujian Normal University,
来源：
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) | 2019年 / 54卷
关键词：
Meromorphic function; order of growth; shared value; Borel direction; angular domain; 30D35;
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摘要：
Let f be a nonconstant meromorphic function of lower order µ (f) > 1/2 in ℂ, and let aj (j = 1, 2, 3) be three distinct finite complex numbers. We show that there exists an angular domain D = {z: α ≤ arg z ≤ β}, where 0 < β − α ≤ 2π, such that if f share aj (j = 1, 2, 3) CM with its k-th linear differential polynomial L[f] in D, then f = L[f]. This generalizes the corresponding results from Frank and Schwick, Zheng and Li-Liu-Yi.
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页码：157 / 162
页数：5
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