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arXiv · 1609.07794

On two-sided monogenic functions of axial type

Dixan Peña Peña·Irene Sabadini·Frank Sommen
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Abstract

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.

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Dixan Peña Peña, Irene Sabadini, Frank Sommen. 2016-09-25. On two-sided monogenic functions of axial type. https://arxiv.org/abs/1609.07794

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