摘要
引入修正的Cauchy核函数,证明四元数分析中无界域上的Pompeiu公式和Cauchy积分公式,再引入四元数分析中无界域上的Cauchy型积分,并考虑其边界性质,得到Plemelj公式.
By introducing the modified Cauchy kernel,the Pompeiu formula and Cauchy integral formula on unbounded domains in quaternion analysis was proved.The boundary properties of the Cauchy type integral operator over unbounded surface in quaternion analysis was studied,and Plemelj formula was obtained.
出处
《兰州理工大学学报》
CAS
北大核心
2014年第1期155-159,共5页
Journal of Lanzhou University of Technology
基金
教育部科学技术研究重点项目(212147)
