Poincaré-Bertrand transformation formula of Cauchy-type singular integrals in Clifford analysis

摘要

This article studies the Poincaré-Bertrand transformation formula of Cauchy-type singular integrals of double multi-variables Clifford functions. First, it discusses some properties for several singular integrals about Clifford functions, and then proves the existence, for Cauchy principal value, of some Cauchy-type singular integrals with a parameter. Finally, it confirms the Poincaré-Bertrand transformation formula.