数学物理学报(英文版) ›› 2010, Vol. 30 ›› Issue (1): 341-349.doi: 10.1016/S0252-9602(10)60050-1

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THE POINCAR\'E-BERTRAND FORMULA ON THE BUILDING DOMAIN OF COMPLEX BIBALLS

  

  1. Department of Mathematical Sciences, Zhejiang Sci-Tech University, Hangzhou 310018, China
    Department of Mathematics, Zhejiang University, Hangzhou 310027, China
  • 收稿日期:2006-04-30 修回日期:2008-11-25 出版日期:2010-01-20 发布日期:2010-01-20
  • 基金资助:

    The research is supported by NSFC (10771195 and 10871173).

THE POINCAR\'E-BERTRAND FORMULA ON THE BUILDING DOMAIN OF COMPLEX BIBALLS

  1. Department of Mathematical Sciences, Zhejiang Sci-Tech University, Hangzhou 310018, China
    Department of Mathematics, Zhejiang University, Hangzhou 310027, China
  • Received:2006-04-30 Revised:2008-11-25 Online:2010-01-20 Published:2010-01-20
  • Supported by:

    The research is supported by NSFC (10771195 and 10871173).

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.

关键词: building domain of complex biballs,  solid angular coefficients, Poincaré-Bertrand formula

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.

Key words: building domain of complex biballs,  solid angular coefficients, Poincaré-Bertrand formula

中图分类号: 

  • 32A40