Laplace-Stieltjes变换所表示的解析函数的对数级与对数精确级  

On Logarithmic Order and Logarithmic Proximate Order of the Analytic Function Defined by Laplace-Stieltjes Transformations

作　　者：徐洪焱[1] 易才凤[2] 胡祎[1] 

机构地区：[1]景德镇陶瓷学院信息工程学院江西景德镇333403 [2]江西师范大学数学与信息科学学院南昌330022

出　　处：《数学物理学报（A辑）》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

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.

关 键 词：对数级 下对数级 LAPLACE-STIELTJES变换 解析函数 

分 类 号：O174.5[理学—数学]