摘要
利用Nevanlinna理论研究了全平面内随机Dirichlet级数所表示的整函数的增长性和值分布,得到全平面内水平带形上的几个新的定理,推广了以往研究半平面内水平半带形上关于增长性和值分布的一些相关结论.
By Nevanlinna theory we study the growth and distribution of the entire function expressed by a random Dirichlet series on the whole plane. We get several new theorems in the horizontal strip on the whole plane. We extend some relevant results of the growth and distribution of the entire function expressed by a random Dirichlet series in the half horizontal strip on the half plane.
出处
《纯粹数学与应用数学》
CSCD
2014年第5期512-519,共8页
Pure and Applied Mathematics
基金
国家自然科学基金(11171013)