摘要
通过引入对数级与对数精确级的概念,进一步讨论了半平面内收敛的Laplace-Stieltjes变换所表示的零级解析函数的增长性,得到了Laplace-Stieltjes变换的对数级与对数精确级的一些等价结果.
The purpose of this paper is to study precisely the growth of the analytic functions of zero order which are defined by Laplace-Stieltjes transformations and are analytic in the right half plane. The concepts of logarithmic order and logarithmic proximate order have been introduced and some results of the growth of such functions are obtained.
出处
《数学物理学报(A辑)》
CSCD
北大核心
2013年第2期366-376,共11页
Acta Mathematica Scientia
基金
国家自然科学基金(11171170,61202313)
江西省自然科学基金(2010GQS0119,20122BAB201016)资助
作者简介
E-mail: xhyhhh@126.com;
E-mail: yicaifeng55@163.com