Cauchy integral formulas for two kinds of functions in Clifford analysis and the related problems
CHEN Xue, ZHANG Ting-ting, XIE Yong-hong
1. College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050024,China;
2. Shijiazhuang University of Applied Technology, Department of Economics and Trade, Shijiazhuang 050081, China
Abstract This paper mainly studies Cauchy integral formulas for two kinds of functions and
the related problems. Firstly, the Cauchy integral formula for right hypergenic functions in Clifford
analysis is given. Then, the properties of the right hypergenic quasi-Cauchy type integral are studied.
Finally, the Cauchy integral formula for bihypergenic functions in Clifford analysis is given.
CHEN Xue, ZHANG Ting-ting, XIE Yong-hong. Cauchy integral formulas for two kinds of functions in Clifford analysis and the related problems. Applied Mathematics A Journal of Chinese Universities, 2019, 34(2): 190-.