亚纯函数与其微分多项式分担小函数的唯一性  

Uniqueness of Meromorphic Functions that Share One Small Function with Their Differential Polynomials

作　　者：刘礼培[1] 袁建军[2] 

机构地区：[1]重庆文理学院数学与计算机科学系,重庆永川402160 [2]西南大学数学与统计学院,重庆400715

出　　处：《西南师范大学学报（自然科学版）》2006年第6期11-14,共4页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：重庆文理学院校内科研项目(Y2005SJ43)

摘　　要：对亚纯函数与其微分多项式CM分担小函数的唯一性进行了研究,得到:设f(z)是非常数亚纯函数,k为正整数,a(z)(0)是亚纯函数,并有T(r,a)=S(r,f)(r∞).如果f-a和p(f)-aCM分担0,p(f)与a(z)没有同级的极点且还满足2δ(0,f)+4Θ(∞,f)>5,则f≡p(f).In this paper the authors studied uniqueness of functions that shared one small function CM with their differential polynomials,and got the following result: Let f(z) be a non-constant meromorphic function, k is positive integer,a(z)(0) be a small function of f(z).If f-a and p(f)-a share 0 CM,p(f) and a(z) have no same multiplicities poles,and 2δ(0,f)+4Θ(∞,f)>5,then f≡p(f).

关 键 词：亚纯函数 整函数 分担值 唯一性 

分 类 号：O174.5[理学—数学]