Czechoslovak Mathematical Journal, Vol. 67, No. 3, pp. 795-808, 2017


A Cauchy-Pompeiu formula in super Dunkl-Clifford analysis

Hongfen Yuan

Received April 16, 2016.  First published March 29, 2017.

Abstract:  Using a distributional approach to integration in superspace, we investigate a Cauchy-Pompeiu integral formula in super Dunkl-Clifford analysis and several related results, such as Stokes formula, Morera's theorem and Painlevé theorem for super Dunkl-monogenic functions. These results are nice generalizations of well-known facts in complex analysis.
Keywords:  super Dunkl-Dirac operator; Stokes formula; Cauchy-Pompeiu integral formula; Morera's theorem; Painlevé theorem
Classification MSC:  30G35, 26B20, 58C50
DOI:  10.21136/CMJ.2017.0187-16

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Affiliations:   Hongfen Yuan, School of Mathematics and Physics, Hebei University of Engineering, Guangming South Street 199, Handan, Hebei, 056038, P. R. China, e-mail: yhf0609@163.com

 
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