半平面上有限级Laplace-Stieltjes变换的正规增长

摘要

研究了在一般的指数条件下,右半平面上有限级Laplace-Stieltjes变换的正规增长性与它的系数的关系,得到了一个充要条件.%In this article, the relations between the order of growth and regular growth of Laplace-Stieltjes transform of finite order in the right half-plane and the coefficients are studied under the general exponential conditions. Then the necessary and sufficient condition is obtained.