摘要
定义了双侧与下侧Laplace-Stieltjes变换与积分 ;对下侧Laplace-Stieltjes积分在σ <0内所定义的解析函数f2 (s)分别定义了下级 ,准确下级与下型 ;通过引进递减负实数列 {λ n} ,建立了在收敛半平面σ<0内f2 (s)的下级存在的充分必要条件 ;建立了f2 (s)的准确下级及下型与其系数及指数之间的关系
It discussed the bilateral and lower side Laplace-Stieltjes integrl(σ<0),the detined lower order and Proximate lower order and lower type of the analytic Function f 2(s) defined by lower side Laplace-Stieltjes integrl;It introduced one descending negative real sequence{λ -n },established the relations between the proximate lower order and lower type of f 2(s),“coefficients' and “exponent'in the half plane σ<0. It extended the corresponding results of upper side Laplace-Stieltjes integrl and Dirichlet Series.
出处
《广东工业大学学报》
CAS
2000年第2期90-95,共6页
Journal of Guangdong University of Technology
基金
广东工业大学自选项目 !(972 0 2 5 )
关键词
收敛横坐标
下级
准确下级
下型
L-S积分
lower side Laplace-Stieltjes integrl
abscissa of convergence
lower order
proximate lower order
lower type
