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

页码：129 / 143

页数：15

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