Further Results on the Inverse Base of Axially Monogenic Polynomials

被引：0
作者：
Mohamed Abdalla
Mahmoud Abul-Ez
Aida Al-Ahmadi
机构：
[1] South Valley University,Department of Mathematics, Faculty of Science
[2] Sohag University,Department of Mathematics, Faculty of Science
[3] Tabuk University,Department of Mathematics, Faculty of Education for Girls
来源：
Bulletin of the Malaysian Mathematical Sciences Society | 2019年 / 42卷
关键词：
Axially monogenic function; Bases of polynomials; Inverse base; Convergence properties; 30G35; 41A10;
D O I：
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学科分类号：
摘要：
The main goal of this paper is to investigate the convergence properties of the inverse base of axially monogenic polynomials. These convergence properties proceed from the investigation of the relation between the effectiveness in closed balls, open balls as well as effectiveness for integral functions. The obtained results are the natural generalization of the original ones in complex setting to higher dimensions. In the meantime our results cover some open questions concerning the Clifford inverse bases.
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页码：1369 / 1381
页数：12
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