A Cauchy-Pompeiu formula in super Dunkl-Clifford analysis

Hongfen Yuan

Czechoslovak Mathematical Journal (2017)

  • Volume: 67, Issue: 3, page 795-808
  • ISSN: 0011-4642

Abstract

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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.

How to cite

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Yuan, Hongfen. "A Cauchy-Pompeiu formula in super Dunkl-Clifford analysis." Czechoslovak Mathematical Journal 67.3 (2017): 795-808. <http://eudml.org/doc/294121>.

@article{Yuan2017,
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.},
author = {Yuan, Hongfen},
journal = {Czechoslovak Mathematical Journal},
keywords = {super Dunkl-Dirac operator; Stokes formula; Cauchy-Pompeiu integral formula; Morera's theorem; Painlevé theorem},
language = {eng},
number = {3},
pages = {795-808},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A Cauchy-Pompeiu formula in super Dunkl-Clifford analysis},
url = {http://eudml.org/doc/294121},
volume = {67},
year = {2017},
}

TY - JOUR
AU - Yuan, Hongfen
TI - A Cauchy-Pompeiu formula in super Dunkl-Clifford analysis
JO - Czechoslovak Mathematical Journal
PY - 2017
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 67
IS - 3
SP - 795
EP - 808
AB - 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.
LA - eng
KW - super Dunkl-Dirac operator; Stokes formula; Cauchy-Pompeiu integral formula; Morera's theorem; Painlevé theorem
UR - http://eudml.org/doc/294121
ER -

References

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