半平面上有限级Laplace-Stieltjes变换的增长性

The Growth of Laplace-Stieltjes Transform of Finite Order in the Half-Plane

研究了在一般的指数条件下,右半平面上有限级Laplace-Stieltjes变换的增长性与它的系数的关系,得到了一个充要条件。

In the general exponential condition,the paper studies the relations between growth order of Laplace-Stieltjes transform of finite order in the right half-plane and the coefficients,and obtains a necessary and sufficient condition.