摘要
本文对于Ｌａｐｌａｃｅ－Ｓｔｉｅｌｔｊｅｓ变换在收敛半平面σ＞０内定义的解析函数定义了准确下级与下型；通过适当引入序列０λｎ↑＋∞，建立了该变换的下级（或准确下级）及下型与其系数及指数之间的关系，即该变换下型的充分必要条件。
The defined lower type and proximate lower order for the analytic function defined by Laplace-Stieltjes transform in the half plane σ>0; we establish the relations between the proximate lower order and lower type of the transform and “coefficients” and “exponent”. It is the lower type′s sufficient and necessary conditions, extending the corresponding results of Dirichlet series.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
1998年第1期213-218,共6页
Acta Mathematica Sinica：Chinese Series
关键词
下级
准确下级
下型
L-S变换
解析函数
Laplace-Stieltjes transform, Half plane of convergence, Lower order, Proximate, Lower order, Lower type
