平移算子的微分多项式的零点分布的再研究  

Re-study of Zero Distribution of Differential Polynomials Involving Shift Operators

作　　者：别荣军 BIE Rongjun(School of Mathematics and Physics,Anhui Jianzhu University,Hefei 230601,China)

机构地区：[1]安徽建筑大学数理学院,安徽合肥230601

出　　处：《安徽建筑大学学报》2019年第6期99-101,共3页Journal of Anhui Jianzhu University

基　　金：安徽省教育厅一般项目(KJ2017D15)。

摘　　要：在他人的研究基础上,本文利用Nevanlinna值分布理论与Ilp Laine的思想,进一步研究了关于整函数的微分差分多项式的值分布问题。证明了有穷级超越整函数在一定条件下存在无限多个零点,所得到的结果改进和推广了已知的结论。On the basis of previous study,this paper uses Nevanlinna value distribution theory and Ilp Laine's idea to further study the value distribution of difference and differential polynomials of entire functions.It is proved that there are infinite zeros in finite transcendental entire functions under certain conditions.The results obtained improve and generalize the known conclusions.

关 键 词：整函数 微分多项式 值分布 平移 

分 类 号：O174.52[理学—数学]