| 摘要: |
| 本文研究了Laplace-Stieltjes变换所定义的零级整函数的增长性.利用牛顿多边形,得到了这类整函数关于增长性及正规增长性的充要条件,推广了文献[3]中的结果. |
| 关键词: Laplace-Stieltjes变换 级 Newton多边形 |
| DOI： |
| 分类号:O175.55 |
| 基金项目:国家自然科学基金资助(11461070). |
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| THE GROWTH OF A CLASS OF ANALYTIC ZERO ORDER LAPLACE-STIELTJES TRANSFORM |
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YANG Qi1, CAO Yue-bo2, TIAN Hong-gen1
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1.School of Mathematical Sciences, Xinjiang Normal University, Urumqi 830054, China;2.College of Science, Shihezi University, Shihezi 832003, China
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| Abstract: |
| The growth of entire function of zero order defined by Laplace-Stieltjes transform is studied in this paper.By using Newton polygon,sufficient and necessary conditions about the growth and the regular growth of this entire function are obtained,which improve the results in [3]. |
| Key words: Laplace-Stieltjes transform order Newton polygon |
