首页> 外文期刊>International Journal of Engineering Science and Technology >Maximum and Minimum Modulus Principle for Bicomplex Holomorphic Functions
【24h】

Maximum and Minimum Modulus Principle for Bicomplex Holomorphic Functions

机译:双复全纯函数的最大和最小模原理

获取原文
           

摘要

Bicomplex is the most recent mathematical tool to develop the theory of analysis. In complex analysis we can not give approximate region in which f ?Z ? attains their max. or min. value on the boundary. But in advance with bicomplex variable we can give the approximate region on the boundary on which f ?? ? attains max. or min. value. In this paper Maximum Modulus Principle and Minimum Modulus Principle are promoted for bicomplex holomorphic function which are highly applicable for analysis, and from this result we have seen that in complex analysis it is necessary that if f ?Z ? is a non constant analytic in D(0,1) and f ?Z ? ? K ? C?0,1? , then f ?Z ? has a zero in D(0,1) . But in bicomplex it is not necessary.
机译:双复合体是发展分析理论的最新数学工具。在复杂分析中,我们不能给出f?Z?的近似区域。达到最大或分钟边界上的值。但是事先用双复变量我们可以给出f ??的边界上的近似区域。 ?达到最大或分钟值。在本文中,对双复全纯函数推广了最大模量原理和最小模量原理,它们非常适用于分析,从这个结果我们可以看出,在复杂分析中,如果f≤Z≤θ,则有必要。是D(0,1)和f?Z?中的非常数解析。 ? ? C?0,1?然后f?Z?在D(0,1)中具有零。但是在双络合物中则没有必要。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号