On the convergence properties of basic series representing special monogenic functions

被引：9
作者：
Abul-Ez, MA [1 ]
Constales, D
机构：
[1] S Valley Univ, Fac Sci, Dept Math, Sohag 82524, Egypt
[2] State Univ Ghent, Dept Math Anal, B-9000 Ghent, Belgium
来源：
ARCHIV DER MATHEMATIK | 2003年 / 81卷 / 01期
关键词：
30G35; 41A10;
D O I：
10.1007/s00013-003-4670-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, it is shown that certain classes of special monogenic functions cannot be represented by the basic series in the whole space. New definitions for the order of basis of special monogenic polynomials are given together with theorems on representation of classes of special monogenic functions in certain balls and at a point.
引用
收藏
页码：62 / 71
页数：10
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