摘要
首先借助实Clifford分析中双正则函数的累次积分的换序公式,给出了双正则函数的Cauchy积分公式,然后由特征边界的Cauchy积分公式,得到了双正则函数的Taylor展式,并由此给出了双正则函数的唯一性定理,柯西不等式和Weierstrass定理.
In the first part of this paper, Cauchy integral formula is given by using the problem of changing the integral order in Clifford Analysis, and then the Taylor expansion for biregular functions is obtained on the basis of the Cauchy integral formula on certain distinguished boundary, after that, Uniqueness theorem, Cauchy inequality and Weierstrass theorem are introduced.
出处
《数学的实践与认识》
CSCD
北大核心
2008年第16期140-148,共9页
Mathematics in Practice and Theory
基金
国家自然科学基金资助项目(10671207)
吉林省“十一五”科学技术资助项目(2007404)
河北省自然科学基金资助项目(A2007000225)
