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极坐标形式下柯西-黎曼条件的推导及其运用
引用本文:张金锋,公丕锋,刘建军,朱孟正,尹新国.极坐标形式下柯西-黎曼条件的推导及其运用[J].高师理科学刊,2013(1):19-21.
作者姓名:张金锋  公丕锋  刘建军  朱孟正  尹新国
作者单位:淮北师范大学 物理与电子信息学院
基金项目:淮北师范大学校级青年基金项目(2012xq36);安徽省高校省级优秀青年人才基金项目(2012SQRL081);安徽省教育厅教学研究项目(20100509)
摘    要:柯西-黎曼条件是判断复变函数可微与解析的主要依据,利用坐标变换法、极限定义法对极坐标形式下柯西-黎曼条件做了详细的推导,最后分析了柯西-黎曼条件的应用.

关 键 词:柯西-黎曼条件  解析函数  极坐标

Expressions deduction and the application of Cauchy-Riemann condition in plar coordinate form
ZHANG Jin-feng,GONG Pi-feng,LIU Jian-jun,ZHU Meng-zheng,YIN Xin-guo.Expressions deduction and the application of Cauchy-Riemann condition in plar coordinate form[J].Journal of Science of Teachers'College and University,2013(1):19-21.
Authors:ZHANG Jin-feng  GONG Pi-feng  LIU Jian-jun  ZHU Meng-zheng  YIN Xin-guo
Institution:(School of Physics and Electronic Information,Huaibei Normal University,Huaibei 235000,China)
Abstract:Cauchy-Riemann conditions is the main basis for judging the differentiability and analytic of complex function.The expressions of Cauchy-Riemann conditions in plar coordinate form was detailed derived by means of coordinate-transformation and the definition of limit.Finally,analysed the application of the Cauchy-Riemann conditions.
Keywords:Cauchy-Riemann conditions  analytic function  polar coordinate
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