| 有界解析函数的n阶导数估计 |
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| 引用本文： | 戴绍虞,潘一飞.有界解析函数的n阶导数估计[J].数学杂志,2010,30(2). |
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| 作者姓名： | 戴绍虞 潘一飞 |
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| 作者单位： | 1. 南京师范大学数学与计算机科学学院,江苏,南京,210097;金陵科技学院基础部,江苏,南京,210001
2. 江西帅范大学数学与信息科学学院,江西,南昌,330027;Dept.of Math.Sciences,Indiana University-Purdue Universlly Fort Wayne,Fort Wayne 46805-1499,USA |
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| 基金项目： | 国家自然科学基金资助 |
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| 摘 要： | 本文研究了有界解析函数的n阶导数估计.利用有界解析函数泰勒展开式的系数估计,得到了n阶导数估计的一般式,改进了已有的相关结果.
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| 关 键 词： | 有界解析函数 导数估计 |
ESTIMATION OF n-TH DERIVATIVES FOR BOUNDED ANALYTIC FUNCTIONS |
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| DAI Shao-yu,PAN Yi-fei.ESTIMATION OF n-TH DERIVATIVES FOR BOUNDED ANALYTIC FUNCTIONS[J].Journal of Mathematics,2010,30(2). |
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| Authors: | DAI Shao-yu PAN Yi-fei |
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| Institution: | DAI Shao-yu1,2,PAN Yi-fei3,4(1.School of Math., Computer Science,Nanjing Normal University,Nanjing 210097,China)(2.General Study Program,Jinling Institute of Technology,Nanjing 210001,China)(3.Institute of Math., Informatics,Jiangxi Normal University,Nanchang 330027,China)(4.Dept.of Math.Sciences,Indiana University-Purdue University Fort Wayne,Fort Wayne 46805-1499,USA) |
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| Abstract: | In this article,we mainly study the n-th derivatives of bounded analytic functions.By using the coefficient estimation of Taylor expansion,we obtain an estimate of the n-th derivatives for bounded analytic functions.This estimate improves some results obtained before. |
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| Keywords: | bounded analytic function estimation of derivative |
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