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Cauchy-Riemann方程解的延拓问题
引用本文:MA Zhong-tai,ZHAO Hong-ling (School of Mathematics and Information Science,Shandong Institute of Business and Technology,Yantai 264005,China, Department of Mathematics,Zhengzhou Teacher's College,Zhengzhou450044,China). Cauchy-Riemann方程解的延拓问题[J]. 数学季刊, 2005, 20(3): 238-241
作者姓名:MA Zhong-tai  ZHAO Hong-ling (School of Mathematics and Information Science  Shandong Institute of Business and Technology  Yantai 264005  China   Department of Mathematics  Zhengzhou Teacher's College  Zhengzhou450044  China)
作者单位:[1]School of Mathematics and Information Science, Shandong Institute of Business and Technology,Yantai 264005, China [2]Department of Mathematics, Zhengzhou Teacher's College, Zhengzhou 450044,China
基金项目:Supported by the EDSF of Shandong Province(J04A11)
摘    要:This paper, we discuss the solutions' characterize of Cauchy-Riemann equation and the extension phenomenon of Hartogs in Cn and, a series of new extended results of the solutions for Cauchy-Riemann equations is obtained by using the latest developments of the solutions' extension. Furthermore, the case of the extension's limitation for the solutions is also given.

关 键 词:Cauchy-Riemann方程  延拓问题  方程解  Hartogs扩展现象

The Extended Problems of Solution for Cauchy-Riemann Equation
MA Zhong-tai ZHAO Hong-ling. The Extended Problems of Solution for Cauchy-Riemann Equation[J]. Chinese Quarterly Journal of Mathematics, 2005, 20(3): 238-241
Authors:MA Zhong-tai ZHAO Hong-ling
Abstract:This paper, we discuss the solutions' characterize of Cauchy-Riemann equation and the extension phenomenon of Hartogs in Cn and, a series of new extended results of the solutions for Cauchy-Riemann equations is obtained by using the latest developments of the solutions' extension. Furthermore, the case of the extension's limitation for the solutions is also given.
Keywords:Cauchy-Riemann equation  solution's extension  Hartogs extension phenomenon
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