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ON SOLUTION OF A KIND OF RIEMANN BOUNDARY VALUE PROBLEM WITH SQUARE ROOTS 被引量:19
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作者 路见可 《Acta Mathematica Scientia》 SCIE CSCD 2002年第2期145-149,共5页
Solution of the Riemann boundary value problem with square roots (1.1) for analytic functions proposed in [1] is reconsidered, which was solved under certain assumptions on the branch points appeared. Here the work is... Solution of the Riemann boundary value problem with square roots (1.1) for analytic functions proposed in [1] is reconsidered, which was solved under certain assumptions on the branch points appeared. Here the work is continued without these assumptions and the problem is solved in the general case. 展开更多
关键词 Riemann boundary value problem branch points INDEX order at infinity sectionally holomorphic functions
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Non-Homogeneous Riemann Boundary Value Problem with Radicals 被引量:6
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作者 Lu Jian-ke School of Mathematics and Statistics,Wuhan University,Wuhan 430072, Hubei,China 《Wuhan University Journal of Natural Sciences》 EI CAS 2002年第4期379-382,共4页
The solution of the non-homogeneous Riemann boundary value problem with radicals (1. 2) together with its condition of solvability is obtained for arbitrary positive integersp andq, which generalizes the results for t... The solution of the non-homogeneous Riemann boundary value problem with radicals (1. 2) together with its condition of solvability is obtained for arbitrary positive integersp andq, which generalizes the results for the casep=q=2. 展开更多
关键词 Riemann boundary value problem branch points of radicals INDEX order at infinity sectionally holomorphic functions
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多连通区域上一类带开方的Riemann边值问题
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作者 刘志伟 《广西科学》 CAS 2006年第3期175-176,共2页
在由L分割的复平面是L围成的区域S+和由l+1个连通分支Si-(i=0,1,2,…,l)组成的开集S-情形下,求出边值问题ψ+(t)=G(t)ψ-(t)+g(t)的一般解为ψ(z)=∏(z)X(z)2(2 1π∫iLg(t)dtX+(t)∏(t)(t-z)+Pλ(z))2.
关键词 RIEMANN边值问题 指标 多连通区域
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