The Related Problems Of Bihypergenic Functions And Clifford M(?)bius Transformation

Clifford analysis is a generalization of analysis of simple and complex variables in high dimensional space.The bihypergenic functions and the bihypermonogenic function are two important functions in Clifford analysis.M(?)bius transformation is one of the important research contents of Clifford analysis.The compositions of the bihypergenic function with Clifford M(?)bius transformation and the bihypermonogenic function with Clifford M(?)bius transformation are mainly studied in this paper.This paper is divided into the following three chapters:In the first chapter,some definitions and lemmas of bihypergenic function in Clifford algebra Cln+1,0(R)are given.Then,the Privalov theorem of bihypergenic quasi-Cauchy type integral is proved.In the second chapter,some definitions and lemmas of Clifford M(?)bius transformation in Clifford algebra Cln+1,0(R)are given.Next,we mainly study the composition of right hypergenic function with Clifford M(?)bius transformation.Finally,we mainly study the composition of bihypergenic function with Clifford M(?)bius transformation;In the third chapter,some definitions and lemmas of bihypermonogenic function and Clifford M(?)bius transformation in Clifford algebra Cl0,n(R)are given.Next,we mainly discuss the composition of right hypermonogenic function with Clifford M(?)bius transformation.Finally,we mainly discuss the composition of bihypermonogenic function with Clifford M(?)bius transformation.