Special functions and systems in Hermitian Clifford analysis

Nele De Schepper; Dixan Peña Peña; Frank Sommen

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arXiv · 1205.5352

Special functions and systems in Hermitian Clifford analysis

Nele De Schepper·Dixan Peña Peña·Frank Sommen

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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.

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Nele De Schepper, Dixan Peña Peña, Frank Sommen. 2012-05-24. Special functions and systems in Hermitian Clifford analysis. https://arxiv.org/abs/1205.5352

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