Entire functions with two radially distributed values
Entire functions with two radially distributed values
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DOI：
10.1017/s0305004117000305
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发表时间：
2015-09
影响因子：
0.8
通讯作者：
W. Bergweiler;A. Eremenko;A. Hinkkanen
中科院分区：
文献类型：
--
作者：
W. Bergweiler;A. Eremenko;A. Hinkkanen
摘要研究了零点和一点位于不同有限射线系上的整函数。这些射线的一般限制。利用二阶线性微分方程的Stokes现象，构造了在不同射线上具有零点和一点的整函数的非平凡例子。
Abstract We study entire functions whose zeros and one-points lie on distinct finite systems of rays. General restrictions on these rays are obtained. Non-trivial examples of entire functions with zeros and one-points on different rays are constructed, using the Stokes phenomenon for second order linear differential equations.