Riemann Boundary Value Problem with Square Roots on an Open Arc  

作　　者：CHEN Jingsong LU Jiankei 

机构地区：[1]School of Mathematics and Statistics, Wuhan University,Wuhan 430072, Hubei, China [2]School of Information, Zhongnan University of Economicsand Law, Wuhan 430073, Hubei, China

出　　处：《Wuhan University Journal of Natural Sciences》2007年第2期193-197,共5页武汉大学学报（自然科学英文版）

基　　金：Supported by the National Natural Science Foundation of China (10161009)

摘　　要：The Riemann boundary value problem with square roots in class h0 when the jumping curve is an open arc in the complex plane is considered. It is solved by reducing it to a classical Riemann boundary value problem so that its solutions are obtained in closed form. In certain cases, some auxiliary function ω（z）is introduced. With different choices of ω（z）＇s, some interesting examples are illustrated.The Riemann boundary value problem with square roots in class h0 when the jumping curve is an open arc in the complex plane is considered. It is solved by reducing it to a classical Riemann boundary value problem so that its solutions are obtained in closed form. In certain cases, some auxiliary function ω（z）is introduced. With different choices of ω（z）＇s, some interesting examples are illustrated.

关 键 词：square roots open arc Riemann boundary valueproblem canonical function 

分 类 号：O175.8[理学—数学]