Cauchy integral formula and Plemelj formula of bihypermonogenic functions in real Clifford analysis

摘要

In the first part of this article, we give the definition of bihypermonogenicfunctions in Clifford analysis. Using the idea of quasi-permutation,introduced by Sha Huang [Quasi-permutations and generalized regularfunctions in real Clifford analysis, J. Sys. Sci. and Math. Sci 18 (1998),pp. 380-384], we state an equivalent condition for bihypermonogenicity. Inthe second part, we discuss the Cauchy integral formula and Plemeljformula for the bihypermonogenic functions in real Clifford analysis.