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保角变换法解无穷曲线上的Riemann边值问题
引用本文:王喜红. 保角变换法解无穷曲线上的Riemann边值问题[J]. 宁夏师范学院学报, 2009, 30(6): 25-26,33
作者姓名:王喜红
作者单位:宁夏师范学院,宁夏,固原,756000
摘    要:利用复变函数保角映照方法,将无穷直线X映照为ω平面上的一圆周Г且保持正向,于是将无穷直线上Riemann边值问题转化为ω,平面上关于Г的Riemann边值问题且在R-1中求解,最终使得整个求解过程大大简化并得到了一个定理.

关 键 词:保角变换  无穷曲线  边值问题

The Riemann Boundary Problem of Inf-curve by the Conformal Mapping
WANG Xihong. The Riemann Boundary Problem of Inf-curve by the Conformal Mapping[J]. Journal of Ningxia Teachers College, 2009, 30(6): 25-26,33
Authors:WANG Xihong
Affiliation:WANG Xihong ( School of Mathematics and Computer Science, Ningxia Teachers University, Guyuan, Ningxia 756000)
Abstract:By the complex variable function method of conformal mapping, X can be changed into Г circumference which is remained positive direction in ω plane, then the Riemann boundary problem in infinity line will be changed into the Riemann boundary problem in Г, and it can be solved in the R.1 , finally the whole solution process is made simpler and a theorem obtained.
Keywords:Conformal mapping  Inf-curve  Boundary problem
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