THE POINCAR-BERTRAND FORMULA ON THE BUILDING DOMAIN OF COMPLEX BIBALLS  

作　　者：龚定东 林良裕 

机构地区：[1]Department of Mathematical Sciences,Zhejiang Sci-Tech University [2]Department of Mathematics,Zhejiang University [3]Department of Mathematics,Xiamen University

出　　处：《Acta Mathematica Scientia》2010年第1期341-349,共9页数学物理学报（B辑英文版）

基　　金：supported by NSFC (10771195 and 10871173)

摘　　要：The Poincare-Bertrand formula takes an important position in the study of complex singular integral. The Poincare-Bertrand formula on the complex sphere in the multidimensional complex Euclidian spaces was given by Sheng Gong. Using the method of solid angular coefficient, the authors extend the Poincare-Bertrand formula on the complex sphere to the building domain of the complex biballs, and obtain a more general Poincare- Bertrand formula with the solid angular coefficients.The Poincare-Bertrand formula takes an important position in the study of complex singular integral. The Poincare-Bertrand formula on the complex sphere in the multidimensional complex Euclidian spaces was given by Sheng Gong. Using the method of solid angular coefficient, the authors extend the Poincare-Bertrand formula on the complex sphere to the building domain of the complex biballs, and obtain a more general Poincare- Bertrand formula with the solid angular coefficients.

关 键 词：building domain of complex biballs solid angular coefficients Poincar6-Bertrand formula 

分 类 号：O175.5[理学—数学]