| 半平面收敛的Laplace-Stieltjes变换所定义函数的准确零(R)级 |
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| 引用本文： | 徐洪焱. 半平面收敛的Laplace-Stieltjes变换所定义函数的准确零(R)级[J]. 江西师范大学学报(自然科学版), 2009, 33(5) |
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| 作者姓名： | 徐洪焱 |
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| 作者单位： | 景德镇陶瓷学院,信息工程学院,江西,景德镇,333403 |
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| 基金项目： | 国家自然科学基金，景德镇陶瓷学院科研基金 |
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| 摘 要： | 通过引入型函数概念研究了右半平面内收敛的Laplace-Stieltjes变换所定义的解析函数的准确零(R)级,在条件减弱的情形下,获得了该函数具有准确零(R)级的一个等价条件,该结果推广且改善了前人的结果.
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| 关 键 词： | Laplace-Stieltjes变换 准确零(R)级 增长性 |
The Proximate Zero Order(R) of the Function Defined by Laplace-Stieltjes Transform of Convergent in the Half Plane |
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| XU Hong-yan. The Proximate Zero Order(R) of the Function Defined by Laplace-Stieltjes Transform of Convergent in the Half Plane[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 2009, 33(5) |
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| Authors: | XU Hong-yan |
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| Affiliation: | XU Hong-yan(Department of Informatics , Engineering,Jingdezhen Ceramic Institute,Jingdezhen Jiangxi 333403,China) |
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| Abstract: | In this paper,the proximate zero order(R) of the function defined with Laplace-Stieltjes transform of convergent in the right half plane by applying type function is discussed.One condition of equivalence about the proximate zero order(R) with the weaken the condition of some known results is obtained.The result which was given in this paper generalizes and improves the former results. |
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| Keywords: | Laplace-Stieltjes transform proximate zero order(R) growth |
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