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| 摘要: |
| 本文研究了应用Knopp-Kojima 的方法得到的Dirichlet 级数正规增长性. 利用Dirichlet 级数和Laplace-Stieltjes 变换的关系, 得到了Laplace-Stieltjes 变换在全平面上的正规增长级的等价条件. |
| 关键词: Laplace-Stieltjes变换 级 正规增长性 |
| DOI： |
| 分类号:O174.55 |
| 基金项目:国家自然科学基金青年项目(11101096);广东省自然科学基金项目资助(S2012010010376). |
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| THE REGULAR GROWTH OF LAPLACE-STIELTJES TRANSFORMS |
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LUO Xi,LIU Xing-zhen,KONG Yin-ying
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| Abstract: |
| In the paper, we study the relationships between Dirichlet series and Laplace-Stieltjes transforms, some results about regular growth of Dirichlet series, which are obtained by the method of Knopp-Kojima. By using Dirichlet series and Laplace-Stieltjes transforms, the equivalent conditions of the regular growth order on the whole plane are obtained, and the results about regular growth of Dirichlet series are generalized. |
| Key words: L-S transforms order regular growth |
