涉及差分多项式的值分布和唯一性问题  

Value Distribution and Uniqueness Results Concerning Difference Polynomials and Meromorphic Functions

作　　者：李效敏[1] 于惠 LI Xiao-Min;YU Hui(School of Mathematical Sciences,Ocean University of China,Qingdao 266100,China)

机构地区：[1]中国海洋大学数学科学学院,山东青岛266100

出　　处：《中国海洋大学学报（自然科学版）》2019年第2期128-134,共7页Periodical of Ocean University of China

基　　金：国家自然科学基金项目(11171184);山东省自然科学基金项目(ZR2014AM011)资助~~

摘　　要：本文在条件N(r,1/f)+N(r,f)=S(r,f)下研究了超级小于1的亚纯函数f的1类非线性差分多项式的值分布问题,改进了Laine-Yang^([4])中的相应结果.本文也分别研究了具有1个非零公共值的1类非线性微分多项式和差分多项式的唯一性问题,推广了Yang-Hua^([14])和方明亮^([15])中的相应结果。Under the assumption N r, 1 f ＋N（r,f）=S（r,f）, we study a value distribution question of certain nonlinear difference polynomials of meromorphic functions of hyper-order less than one. The results in this paper improve the corresponding results given by Laine-Yang [4] . We also study a uniqueness question of meromorphic functions whose certain nonlinear differential polynomials or certain difference polynomials share a finite nonzero value. Also the uniqueness results of this paper improve the corresponding results given by Yang-Hua [14] and Fang [15] .

关 键 词：NEVANLINNA理论 微分多项式 差分多项式 唯一性定理 

分 类 号：O174.52[理学—数学]