Cauchy-type integral formula and Plemelj formula of hypermonogenic functions on unbounded domains
Cauchy-type integral formula and Plemelj formula of hypermonogenic functions on unbounded domains
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DOI：
10.1080/17476933.2014.976813
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发表时间：
2015-06
影响因子：
0.9
通讯作者：
Xiao-li Bian;Junxia Li;Y. Qiao
中科院分区：
文献类型：
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作者：
Xiao-li Bian;Junxia Li;Y. Qiao
本文讨论了实Clifford分析中无界区域上超正则函数的Cauchy型积分公式，并将有界域上超正则函数的Plemelj公式和Cauchy-Pompeiu公式推广到无界区域上。我们还讨论了无界区域上的Green型公式，得到了几个重要的推论。
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.