...
首页> 外文期刊>Advances in applied Clifford algebras >Certain Bases of Polynomials Associated with Entire Functions in Clifford Analysis
【24h】

Certain Bases of Polynomials Associated with Entire Functions in Clifford Analysis

机译:克利福德分析中与整个功能相关的多项式基础

获取原文
获取原文并翻译 | 示例
   

获取外文期刊封面封底 >>

       

摘要

The theory of polynomial bases in one complex variable, as given by Whittaker and Cannon, was extended partially to the scope of Clifford analysis, where many results have been handled from different aspects. The emphasis of this paper is on introducing a certain type of bases of axially monogenic polynomials generated by the maximum modulus base. Determining the convergence properties of such bases is closely related to the growth behavior of the associated entire axially monogenic functions. We start by investigating the presented bases of monogenic polynomials associated with entire axially monogenic functions in the way we are going to indicate. Then, we show how this leads us to certain relations involving maximum moduli of an entire axially monogenic function on a sequence of balls with increasing radii. In this concern, we point out that Hadamard's three hyper-balls theorem can be employed to justify some of our results. The significance of this study is due to the variety of the results, which are not normally expected.
机译:None

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