ON TWO-SIDED MONOGENIC FUNCTIONS OF AXIAL TYPE

被引：2
|
作者：
Pena, Dixan Pena [1 ]
Sabadini, Irene [1 ]
Sommen, Frank [2 ]
机构：
[1] Politecn Milan, Dipartimento Matemat, Via E Bonardi 9, I-20133 Milan, Italy
[2] Univ Ghent, Fac Engn & Architecture, Clifford Res Grp, Dept Math Anal, Galglaan 2, B-9000 Ghent, Belgium
来源：
MOSCOW MATHEMATICAL JOURNAL | 2017年 / 17卷 / 01期
关键词：
Two-sided monogenic functions; plane waves; Vekua systems; Funk-Hecke's formula;
D O I：
10.17323/1609-4514-2017-17-1-129-143
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study two-sided (left and right) axially symmetric solutions of a generalized Cauchy Riemann operator. We present three methods to obtain special solutions: via the Cauchy-Kowalevski extension theorem, via plane wave integrals and Funk Hecke's formula and via primitivation. Each of these methods is effective enough to generate all the polynomial solutions.
引用
收藏
页码：129 / 143
页数：15
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