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THE INTEGRATION OF ALGEBROIDAL FUNCTIONS

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【Author】 Daochun SUN;Yingying HUO;Yinying KONG;Fujie CHAI;School of Mathematics,South China Normal University;School of Applied Mathematics,Guangdong University of Technology;School of Statistics and Mathematics,Guangdong University of Finance and Economics;Department of Mathematics,Guangzhou Civil Aviation College;

【机构】 School of Mathematics,South China Normal University； School of Applied Mathematics,Guangdong University of Technology； School of Statistics and Mathematics,Guangdong University of Finance and Economics； Department of Mathematics,Guangzhou Civil Aviation College；

【摘要】 In this paper,we introduce the integration of algebroidal functions on Riemann surfaces for the first time. Some properties of integration are obtained. By giving the definition of residues and integral function element,we obtain the condition that the integral is independent of path. At last,we prove that the integral of an irreducible algebroidal function is also an irreducible algebroidal function if all the residues at critical points are zeros.更多还原

【Abstract】 In this paper,we introduce the integration of algebroidal functions on Riemann surfaces for the first time. Some properties of integration are obtained. By giving the definition of residues and integral function element,we obtain the condition that the integral is independent of path. At last,we prove that the integral of an irreducible algebroidal function is also an irreducible algebroidal function if all the residues at critical points are zeros.更多还原

【关键词】 algebroidal function； integral； integral function element； direct continuation；
【Key words】 algebroidal function； integral； integral function element； direct continuation；

【基金】 supported by the National Natural Science Foundation of China(11501127);Guangdong Natural Science Foundation(2015A030313628);the Training Plan for Outstanding Young Teachers in Higher Education of Guangdong(Yqgdufe1405);the Open Fund of the National Higher Education Quality Monitoring Data Center(Guangzhou)(G1613)

【文献出处】 Acta Mathematica Scientia(English Series) ,数学物理学报(英文版) , 编辑部邮箱 ,2017年06期

【分类号】O174
【下载频次】43

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