在右半平面上收敛的Laplace-Stieltjes变换的无限级

摘要

利用改进的较宽松的系数条件，研究了右半平面上Laplace-Stieltjes 变换所表示的解析函数的增长性，给出了两个充分必要条件，推广了先前一些文献的结果。%　　We studied the growth of analytic functions defined by a Laplace-Stieltjes transformation converging in right plane under a better condition, and established two sufficient and necessary conditions, improved some results in previous references.