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Cauchy-type integral formula and Plemelj formula of hypermonogenic functions on unbounded domains |
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| Authors: | Xiaoli Bian Junxia Li |
| Affiliation: | 1. School of Science, Tianjin University of Technology and Education, Tianjin 300222, China.;2. Department of Mathematics, University of Arkansas, Fayetteville, AR 72701, USA.;3. College of Mathematics and information, Hebei Normal University, Shijiazhuang 050016, China. |
| Abstract: | In this paper, we discuss the Cauchy-type integral formula of hypermonogenic functions on unbounded domains in real Clifford analysis, then we extend the Plemelj formula and Cauchy–Pompeiu formula of hypermonogenic functions on bounded domains to unbounded domains. We also deal with the Green-type formula on unbounded domains and get several important corollaries. |
| Keywords: | Real Clifford analysis hypermonogenic function Cauchy-type integral formula Plemelj formula Cauchy–Pompeiu type formula |