首页 | 本学科首页   官方微博 | 高级检索  
     检索      

分担多项式的亚纯函数的进一步结果(英文)
引用本文:仇惠玲.分担多项式的亚纯函数的进一步结果(英文)[J].数学季刊,2011(3):448-452.
作者姓名:仇惠玲
作者单位:College of Mathematics and Statistics;Nanjing Audit University;
基金项目:Supported by the Natural Science Foundation of Jiangsu Education Department(07KJD110086)
摘    要:In this paper,we use the theory of value distribution and study the uniqueness of meromorphic functions.We will prove the following result:Let f(z)and g(z)be two transcendental meromorphic functions,p(z)a polynomial of degree k,n≥max{11,k+1}a positive integer.If fn(z)f(z)and gn(z)g(z)share p(z)CM,then either f(z)=c1ec p(z)dz, g(z)=c2e ?c p(z)dz ,where c1,c2 and c are three constants satisfying(c1c2) n+1 c2=-1 or f(z)≡tg(z)for a constant t such that tn+1=1.

关 键 词:meromorphic  function  polynomial  constant  zero  point

Further Results of Meromorphic Functions that Share a Polynomial
QIU Hui-ling.Further Results of Meromorphic Functions that Share a Polynomial[J].Chinese Quarterly Journal of Mathematics,2011(3):448-452.
Authors:QIU Hui-ling
Institution:QIU Hui-ling (College of Mathematics and Statistics,Nanjing Audit University,Nanjing 210029,China)
Abstract:
Keywords:meromorphic function  polynomial  constant  zero point  
本文献已被 CNKI 维普 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号