摘要
本文给出了用狄里克莱级数表示的在半平面 Res>0内解析的函数 f(s)的一种增长性,推导出这种增长性与级数系数的关系,并证明了在一定条件下。每条水平直线上 f(s)的这种增长性与它在半平面 Re s>0内的增长性相同。在此基础上进一步研究了 f(s)的 P(R)级及整函数的(p,q)(R)级,也得到了相应的结果。
In this paper,we give some results on the growth of analytic function f(s) defined by Dirichlet se- ries in the half-plane Res>0,and obtain some relations between the coefficients and the growth of f(s).Under certain conditions we prove that the growth of f(s) is the same on every horizontal line in Res>0.Using this method we also study the order p(R) of f(s) in Res>0 and the order (p,q) (R) of entire functions.
出处
《武汉大学学报（自然科学版）》
CSCD
1992年第4期9-16,共8页
Journal of Wuhan University(Natural Science Edition)
