| 右半平面解析的Laplace-Stieltjes变换的广义级与型 |
| |
| 引用本文： | 孔荫莹,霍颖莹. 右半平面解析的Laplace-Stieltjes变换的广义级与型[J]. 数学学报, 2016, 59(1): 91-98 |
| |
| 作者姓名： | 孔荫莹 霍颖莹 |
| |
| 作者单位： | 广东财经大学数学与统计学院 广州 510320 |
| |
| 基金项目： | 国家自然科学基金资助项目(11501127, 11301140, 11101096);广东省自然科学基金(2015A030313628)及省高等学校优秀青年教师培养计划(Yqgdufe1405);省教育科学十二五规划项目(2014GXJK091)及省青年创新人才类资助项目(2014KQNCX068) |
| |
| 摘 要： | 给出右半平面解析的Laplace-Stieltjes变换的广义级与广义型的定义,研究了最大模M_u(σ,F)=sup{|∫_0~x e~(-(σ+it)y)dv(y)|:x∈(0,+∞),t∈R},最大项μ(σ,F)=max_(n∈N){A_n~*e~(-λnσ)},最大项指标v(σ,F)=max_k{λ_k|μ(σ,F)=A_k~*e~(-λkσ)}及其系数之间的关系,推广了Dirichlet级数的相关结果.
|
| 关 键 词： | Dirichlet级数 Laplace-Stieltjes变换 级 型 |
On Generalized Orders and Types of Laplace-Stieltjes Transformas Analytic in the Right Half-Plane |
| |
| Yin Ying KONG,Ying Ying HUO. On Generalized Orders and Types of Laplace-Stieltjes Transformas Analytic in the Right Half-Plane[J]. Acta Mathematica Sinica, 2016, 59(1): 91-98 |
| |
| Authors: | Yin Ying KONG Ying Ying HUO |
| |
| Affiliation: | School of Mathematics and Statistics, Guangdong University of Finance and Economics, Guangzhou 510320, P. R. China |
| |
| Abstract: | We define the generalized orders and generalized types of Laplace-Stieltjes transforms which convergence in the right half-plane. Some interesting relationships on the maximum modulus Mu(σ, F) = sup{|ƒ0x e-(σ+it)ydν(y)|: x ∈ (0,+∞), t ∈ R}, the maximum term μ(σ, F) = maxn∈N{An*e-λnσ}, the index of maximum term υ(σ, F)= maxk{λk|μ(σ, F) = An*e-λnσ} and the coefficients of such transforms are obtained, which briefly extend some results of Dirichlet series. |
| |
| Keywords: | Dirichlet series Laplace-Stieltjes transforms order type |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《数学学报》浏览原始摘要信息 |
|
点击此处可从《数学学报》下载全文 |
|
