| THE POINCAR-BERTRAND FORMULA ON THE BUILDING DOMAIN OF COMPLEX BIBALLS |
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| 引用本文： | 龚定东,林良裕. THE POINCAR-BERTRAND FORMULA ON THE BUILDING DOMAIN OF COMPLEX BIBALLS[J]. 数学物理学报(B辑英文版), 2010, 30(1): 341-349. DOI: 10.1016/S0252-9602(10)60050-1 |
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| 作者姓名： | 龚定东 林良裕 |
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| 作者单位： | Gong Dingdong(Department of Mathematics, Zhejiang University, Hangzhou 310027, China);Lin Liangyu(Department of Mathematics, Xiamen University, Xiamen 361005, China) |
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| 基金项目： | supported by NSFC (10771195 and 10871173) |
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| 摘 要： | The Poincaré-Bertrand formula takes an important position in the study of complex singular integral.The Poincaré-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 Poincaré-Bertrand formula on the complex sphere to the building domain of the complex biballs,and obtain a more general Poincaré-Bertrand formula with the solid angular coefficients.
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| 关 键 词： | 复双球垒域 庞加莱 公式法 贝特 建筑物 欧几里德空间 奇异积分 角系数 |
| 收稿时间： | 2006-04-30 |
| 修稿时间： | 2008-11-25 |
THE POINCARE-BERTRAND FORMULA ON THE BUILDING DOMAIN OF COMPLEX BIBALLS |
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| Gong Dingdong. THE POINCARE-BERTRAND FORMULA ON THE BUILDING DOMAIN OF COMPLEX BIBALLS[J]. Acta Mathematica Scientia, 2010, 30(1): 341-349. DOI: 10.1016/S0252-9602(10)60050-1 |
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| Authors: | Gong Dingdong |
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| Affiliation: | [1]Department of Mathematical Sciences, Zhejiang Sci-Tech University, Hangzhou 310018, China [2]Department of Mathematics, Zhejiang University, Hangzhou 310027, China [3]Department of Mathematics, Xiamen University, Xiamen 361005, China |
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| Abstract: | The Poincaré-Bertrand formula takes an important position in the study of complex singular integral. The Poincaré-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 Poincaré-Bertrand formula on the complex sphere to the building domain of the complex biballs, and obtain a more general Poincaré-Bertrand formula with the solid angular coefficients. |
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| Keywords: | building domain of complex biballs solid angular coefficients PoincareBertrand formula |
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