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| 摘要: |
| 本文研究了Laplace-Stieltjes变换所定义的零级整函数的增长性.利用型函数,得到了这类整函数关于增长性及正规增长性的充要条件,推广了Dirichlet级数的相关结论. |
| 关键词: Laplace-Stieltjes 变换 级 Newton 多边形 型函数 |
| DOI： |
| 分类号:O175.55 |
| 基金项目:国家自然科学基金资助(11461070);新疆师范大学优秀青年教师科研启动基金资助(XJNU201417). |
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| THE GROWTH OF ZERO ORDER LAPLACE-STIELTJES TRANSFORM ON THE PLANE |
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YANG Qi,LU Wei-na,TIAN Hong-gen
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| Abstract: |
| The growth of entire function of zero order deflned by Laplace-Stieltjes transform is studied in this paper. By using Type-function, sufficient and necessary conditions about the growth and the regular growth of this entire function are obtained, which extend some results of Dirichlet series. |
| Key words: Laplace-Stieltjes transform order Newton polygon type-function |
