The Cauchy integral formula for the bi-k-monogenic function with bi-weight
Firstly,the definition of the bi-k-monogenic function with bi-weight in Clifford analysis is given.Secondly,the kernel function of the bi-k-monogenic function with bi-weight is given and its properties are studied.Then the Cauchy-Pompeiu formula,the Cauchy integral formula,the Cauchy integral theorem and mean value theorem for the bi-k-monogenic function with bi-weight are proved.
bi-k-monogenic function with bi-weightCauchy-Pompeiu formulaCauchy integral formulaCauchy integral theorem