Value sharing of an entire function and its derivatives
Value sharing of an entire function and its derivatives
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DOI：
10.2969/jmsj/05140781
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发表时间：
1999-10
影响因子：
0.7
通讯作者：
Ping Li;Chung-Chun Yang
中科院分区：
文献类型：
--
作者：
Ping Li;Chung-Chun Yang
本文研究的是当整个函数f 及其以小函数为系数的导数Lð f Þ 的线性组合共用一个值CM 和另一个值IM 时。我们还解决了整个函数 f 及其导数 f 0 共同共享两个值 CM 的问题。如果 f 是亚纯的且满足 Nðr，则某些结果仍然有效； f Þ 1⁄4 oðTðr; f ÞÞ 作为 r!y 和值 a； b 被 f ðzÞ 的小函数取代。
In this paper, when an entire function f and the linear combination of its derivatives Lð f Þ with small functions as its coe‰cients share one value CM and another value IM is studied. We also resolved the question when an entire function f and its derivative f 0 share two values CM jointly. Some of the results remain to be valid if f is meromorphic and satisfying Nðr; f Þ 1⁄4 oðTðr; f ÞÞ as r!y and the values a; b are replaced by small functions of f ðzÞ.