Special functions and systems in Hermitian Clifford analysis
Complex Variables
2012-05-25 v1
Abstract
In this paper we study some new special functions that arise naturally within the framework of Hermitian Clifford analysis, which concerns the study of Dirac-like systems in several complex variables. In particular we focus on Hermite polynomials, Bessel functions and generalized powers. We also derive a Vekua system for solutions of Hermitian systems in axially symmetric domains.
Cite
@article{arxiv.1205.5352,
title = {Special functions and systems in Hermitian Clifford analysis},
author = {Nele De Schepper and Dixan Peña Peña and Frank Sommen},
journal= {arXiv preprint arXiv:1205.5352},
year = {2012}
}
Comments
23 pages