Acta mathematica scientia, Series B >
THE POINCAR\'E-BERTRAND FORMULA ON THE BUILDING DOMAIN OF COMPLEX BIBALLS
Received date: 2006-04-30
Revised date: 2008-11-25
Online published: 2010-01-20
Supported by
The research is supported by NSFC (10771195 and 10871173).
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.
GONG Ding-Dong , LIN Liang-Yu . THE POINCAR\'E-BERTRAND FORMULA ON THE BUILDING DOMAIN OF COMPLEX BIBALLS[J]. Acta mathematica scientia, Series B, 2010 , 30(1) : 341 -349 . DOI: 10.1016/S0252-9602(10)60050-1
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