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含零点弧的双解析函数在极点处的性质(英文)

The Properties of Bianalytic Functions with Zero Arc at a Pole

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【Author】 WANG Fei1,2,HUANG Xin Min2,LIU Hua3(1.College of Mathematics and Physics,Xinjiang Agricultural University,Xinjiang 830052,China;2.College of Mathematics and Information Science,Guangxi University,Guangxi 530004,China;3.Department of Mathematics and Physics,Tianjin University of Technology and Education,Tianjin 300222,China)

【机构】 College of Mathematics and Physics,Xinjiang Agricultural University； College of Mathematics and Information Science,Guangxi University； Department of Mathematics and Physics,Tianjin University of Technology and Education；

【摘要】 In this paper,the properties of bianalytic functions w(z)=zφ1(z)+φ2(z) with zero arc at the pole z=0 are discussed.Some conditions under which there exists an arc γ,an end of which is z=0,such that w(z)=0 for z∈γ\{0} are given.Secondly,that the limit set of w(z) is a circle or line as z→0 is proved in this case.Finally,two numerical examples are given to illustrate our results.更多还原

【Abstract】 In this paper,the properties of bianalytic functions w(z)=zφ1(z)+φ2(z) with zero arc at the pole z=0 are discussed.Some conditions under which there exists an arc γ,an end of which is z=0,such that w(z)=0 for z ∈γ\{0} are given.Secondly,that the limit set of w(z) is a circle or line as z→0 is proved in this case.Finally,two numerical examples are given to illustrate our results.更多还原

【关键词】 bianalytic functions with zero arc； pole； convergence to a circle or line； sufficient condition；
【Key words】 bianalytic functions with zero arc； pole； convergence to a circle or line； sufficient condition；

【基金】 the National Natural Science Foundation of China(No.10601036)

【文献出处】数学研究与评论 ,Journal of Mathematical Research and Exposition , 编辑部邮箱 ,2009年04期

【分类号】O174.55
【被引频次】2
【下载频次】50

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