摘要
给出下侧二重 Laplace- Stieltjes变换与积分以及由该变换所定义的解析函数 f ( s,t)的θ线性下级与准确下级的定义 ;通过引入递减负实数列 {λ- m}与 {μ- n},建立 f( s,t)的 θ线性下级存在的充要条件及其 θ线性下级的下型与 θ线性下级及其系数与指数的关系 .
The present paper gives lower side bitangent Laplace Stieltjes transformation and integral, θ linear lower order and proximate lower order of the analytic function defined by this transformation. By introducing a pair of progressively decreased negative real series {λ -m }, {μ -n } , we established the necessary and sufficient conditions for the existence of θ linear lower order of f(s,t) , the equivalent relation formula between lower type of θ linear lower order of f(s,t) and θ linear lower order and coeffcients and exponent of f(s,t) .
出处
《吉林大学自然科学学报》
CSCD
2000年第1期49-52,共4页
Acta Scientiarum Naturalium Universitatis Jilinensis
关键词
解析函数
θ线性下级
准确下级
L-S积分
L-S变换
lower side bitangent Laplace Stieltjes integral
binary analytic function
θ linear lower order
proximate lower order