Laplace-Stieltjes 变换所定义的解析函数的值分布 |
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引用本文: | 尚丽娜,高宗升.Laplace-Stieltjes 变换所定义的解析函数的值分布[J].数学学报,2008,51(5):993-100. |
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作者姓名: | 尚丽娜 高宗升 |
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作者单位: | 北京航空航天大学数学系;北京航空航天大学理学院应用数学系 |
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摘 要: | 分别对右半平面上有限正级与无穷级Laplace-Stieltjes变换的Borel点的存在性进行
了研究, 证明了在一定条件下, 右半平面上$\tau(\tau>1)$级Laplace-Stieltjes变换在虚轴上必有一个
$\tau$级Borel点;$\rho(\frac{1}{\sigma})$级Laplace-Stieltjes变换在虚轴上必有一个无有限例外值的$\rho(\frac{1}{\sigma})$级Borel
点.
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关 键 词: | Laplace-Stieltje 变换 解析函数 值分布 |
收稿时间: | 2006-11-16 |
The Value Distribution of Analytic Functions Represented by Laplace-Stieltjes Transforms |
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Institution: | LMIB and Department of Mathematics,\ Beihang
University LMIB and Department of Mathematics,\ Beihang
University |
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Abstract: | The value distribution
of analytic functions defined by Laplace-Stieltjes transforms in
the right half-plane is considered in this paper. We prove the
existence of Borel points of such analytic functions of finite
non-zero order and infinite order. |
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Keywords: | |
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