关于右半平面上Laplace-Stieltjes变换

On the Laplace-Stieltjes transforms in the right half plane

研究了Laplace-Stieltjes变换所定义的右半平面上有限正级解析函数的增长性,得到了其型函数与其增长性关系的结果,推广了右半平面上Dirichlet级数相关结果,并改进了右半平面上Dirichlet级数相关结果的证明.

The growth of analytic functions of ρ（0 〈ρ〈 ＋ ∞ ） order defined by Laplace-Stiehjes transforms in the right half plane is investigated. The result similar to Dirichlet series is obtained which improves the proof of the result similar to Dirichlet series.