| 半平面中有限阶调和函数的积分表示 |
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| 引用本文： | 闫峰,韩建华,张艳霞.半平面中有限阶调和函数的积分表示[J].河北大学学报(自然科学版),2011,31(4):348-351. |
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| 作者姓名： | 闫峰 韩建华 张艳霞 |
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| 作者单位： | 1. 邯郸学院数学系,河北邯郸,056005
2. 邯郸职业技术学院教务处,河北邯郸,056005 |
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| 摘 要： | 修改的Poisson核的性质证明了右半平面中具有有限阶的调和函数可以用它在半平面边界上的积分表示出来,改进了一些相关研究成果.
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| 关 键 词： | 调和函数 修改的Poisson核 积分表示 |
Integral Representation of Harmonic Function of Finite Order in a Half-plane |
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| YAN Feng,HAN Jian-hua,ZHANG Yan-xia.Integral Representation of Harmonic Function of Finite Order in a Half-plane[J].Journal of Hebei University (Natural Science Edition),2011,31(4):348-351. |
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| Authors: | YAN Feng HAN Jian-hua ZHANG Yan-xia |
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| Institution: | 1(1.Department of Mathematics,Handan College,Handan 056005,China;2.Office of Academic Affairs,Handan Polytechnic College,Handan 056005,China) |
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| Abstract: | Using a property of the modified Poisson kernel in a half-plane,it is proved that a harmonic function of finite order in a half-plane can be represented by its integral on the boundary of the half-plane. |
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| Keywords: | harmonic function modified Poisson kernel integral representation |
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