期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
Some Properties of Biregular Functions in Real Cl ifford Analysis
摘要/Abstract
摘要：
研究了含有2个变量的正则函数,所谓的双正则函数.正则函数是单复分析中全纯函数在高维空间的推广,全纯函数的经典函数理论如Morera定理,开拓定理等都可推广到正则函数,同样也可推广到双正则函数.以双正则函数的柯西积分公式为基础,得到了双正则函数的Morera定理,开拓定理,平均值定理.
Abstract：
The regular functions with two variables are studied,so called biregular functions.Biregular functions are the extension of regular functions in high dimensional space.The classical theorems of analytic functions of one complex variable such as Morera theoremand painleve theorem are generalized to regular functions,similarly to biregular functions.Therefore,Mo rera theorem,painleve theorem and mean value theorem for biregular functions based on Cauchy integral formula are obtained.
关键词
Key words：
biregular functions
;
Mo rera theorem
;
painleve theorem
;
mean value theo rem