全平面上解析的零级Laplace-Stieltjes变换

THE GROWTH OF ZERO ORDER LAPLACE-STIELTJES TRANSFORM ON THE PLANE

本文研究了Laplace-Stieltjes变换所定义的零级整函数的增长性.利用型函数,得到了这类整函数关于增长性及正规增长性的充要条件,推广了Dirichlet级数的相关结论.

The growth of entire function of zero order defined by Laplace-Stieltjes transform is studied in this paper.By using Type-function,sufficient and necessary conditions about the growth and the regular growth of this entire function are obtained,which extend some results of Dirichlet series.