The Poincaré-Bertrand formula on the building domain of complex biballs

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.