一类解析的零级Laplace-Stieltjes 变换

摘要

The growth of entire function of zero order defined by Laplace-Stieltjes transform is studied in this paper. By using Newton polygon, sufficient and necessary conditions about the growth and the regular growth of this entire function are obtained, which improve the results in [3].%本文研究了Laplace-Stieltjes 变换所定义的零级整函数的增长性。利用牛顿多边形，得到了这类整函数关于增长性及正规增长性的充要条件，推广了文献[3]中的结果。