[1]赵小珍.亚纯函数及其导数分担小函数集的唯一性[J].江西师范大学学报(自然科学版),2012,(02):141-146.
　ZHAO Xiao-zhen.The Uniqueness of Meromorphic Functions and Their Derivatives Weighted-Sharing the Sets of Small Functions[J].Journal of Jiangxi Normal University:Natural Science Edition,2012,(02):141-146.
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亚纯函数及其导数分担小函数集的唯一性()
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《江西师范大学学报》（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2012年02期
页码:
141-146
栏目:
出版日期:
2012-03-01

文章信息/Info

Title:
The Uniqueness of Meromorphic Functions and Their Derivatives Weighted-Sharing the Sets of Small Functions
作者:
赵小珍
宁德师范学院数学系,福建宁德,352100
Author(s):
ZHAO Xiao-zhen
关键词:
亚纯函数; 弱权分担; 小函数; 唯一性
Keywords:
meromorphic function;  weakly weighted-sharing;  small function;  uniqueness
分类号:
O174.52
文献标志码:
A
摘要:
研究了亚纯函数及其k阶导数权分担小函数集的唯一性,得到了:设k,n为正整数,f,g为开平面上超越亚纯函数,以∞.为IM公共值,E(S,f)=E(S1,g)且E1(S2,f(k))=EI(S2,g(k)),f(≥2)∈N,如果2nδ2+k(an,,fn)+ (nk+ 4)(◎)(∞,f)＞n(k+1)+4,则f≡tg(tn=1)或[(f(k))n-(a(k))n][(g(k))n-(a(k))n]≡[bn-(a(k))n]2,并且文中还讨论了当l=0,1时的情形.这些定理推广和改进了先前的一些结果.
Abstract:
The uniqueness of meromorphic functions and their derivatives weakly weighted-sharing the sets of small functions is investigated, and the following theorem is obtained. Let be two positive integers, f,g be nonconstant meromorphic functions in the complex plane C, f,g share and If 4, then or . Some results about in the above theorem are obtained in this paper. These theorems of this paper extend and improve the previous results.

参考文献/References:

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备注/Memo

备注/Memo:
福建省教育厅A类科技(JK2010062)；福建省高校科研(JA11276)；宁德师范学院重点课题(2010003)
更新日期/Last Update: 1900-01-01