随机Richlet级数的增长性

本文构造了全平面上的无限级Dirirchlet级数,使得它对型函数的增长性与一个已知的不同分布随机Dirichlet的增长性相同,从而通过前者增长性与指数,系数的关系可研究后者的增长性.     

ALGEBROIDAL FUNCTION AND ITS DERIVED FUNCTION IN UNIT CIRCULAR DISC

In this article,the authors define the derived function of an algeboidal function in the unit disc,prove it is an algabriodal function,and study the order of algebroidal function and that of its derived function in unit circular disc.     

ON THE GENERALIZED ORDER OF DIRICHLET SERIES

By the method of Knopp-Kojima, the generalized order of Dirichlet series is studied and some interesting relations on the maximum modulus, the maximum term and the coefficients of entire function defined by Dirichlet series of slow growth are obtained,which briefly extends some results of paper [1].     

ON GENERALIZED ORDERS AND GENERALIZED TYPES OF DIRICHLET SERIES IN THE RIGHT HALF-PLANE

In the paper, generalized orders and generalized types of Dirichlet series in the right half-plane are given. Some interesting relationships on maximum modulus, the maximum term and the coefficients of entire function defined by Dirichlet series of in the right half-plane are obtained.     

二重Laplace-Stieltjes变换的增长性*

本文引入了一种新的广义级来研究由二重Laplace-Stieltjes变换所定义的全纯函数的增长性, 并建立了一些最大模与最大项之间的有趣的关系,推广了Laplace-Stieltjes变换的某些结果.     

右半平面解析的Laplace-Stieltjes变换的广义级与型

给出右半平面解析的Laplace-Stieltjes变换的广义级与广义型的定义,研究了最大模M_u(σ,F)=sup{|∫_0~x e~(-(σ+it)y)dv(y)|:x∈(0,+∞),t∈R},最大项μ(σ,F)=max_(n∈N){A_n~*e~(-λnσ)},最大项指标v(σ,F)=max_k{λ_k|μ(σ,F)=A_k~*e~(-λkσ)}及其系数之间的关系,推广了Dirichlet级数的相关结果.     

慢增长的随机Dirichlet级数

给出慢增长的随机Dirichlet级数的广义级和型的定义,给出了它的系数与最大模、最大项和最大指标项之间的关系.     

两代数体函数的Borel方向

若W,M分别为v1,v2值代数体函数且具有2v+1个Im公共值,且W在某一角域内存在ρ级Borel方向,则M在此角域内存在至少ρ级的Borel方向。