On the Cauchy theorem for hyperholomorphic functions of spatial variable

We proved a theorem about the integral of quaternionic-differentiable functions of spatial variable over the closed surface. It is an analog of the Cauchy theorem from complex analysis.

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Published in:Український математичний вісник
Date:2017
Main Author: Herus, O.F.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2017
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/169319
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On the Cauchy theorem for hyperholomorphic functions of spatial variable / O.F. Herus // Український математичний вісник. — 2017. — Т. 14, № 2. — С. 153-160. — Бібліогр.: 15 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-169319
record_format dspace
spelling Herus, O.F.
2020-06-10T15:16:17Z
2020-06-10T15:16:17Z
2017
On the Cauchy theorem for hyperholomorphic functions of spatial variable / O.F. Herus // Український математичний вісник. — 2017. — Т. 14, № 2. — С. 153-160. — Бібліогр.: 15 назв. — англ.
1810-3200
2010 MSC. 30G35, 32V05
https://nasplib.isofts.kiev.ua/handle/123456789/169319
We proved a theorem about the integral of quaternionic-differentiable functions of spatial variable over the closed surface. It is an analog of the Cauchy theorem from complex analysis.
en
Інститут прикладної математики і механіки НАН України
Український математичний вісник
On the Cauchy theorem for hyperholomorphic functions of spatial variable
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title On the Cauchy theorem for hyperholomorphic functions of spatial variable
spellingShingle On the Cauchy theorem for hyperholomorphic functions of spatial variable
Herus, O.F.
title_short On the Cauchy theorem for hyperholomorphic functions of spatial variable
title_full On the Cauchy theorem for hyperholomorphic functions of spatial variable
title_fullStr On the Cauchy theorem for hyperholomorphic functions of spatial variable
title_full_unstemmed On the Cauchy theorem for hyperholomorphic functions of spatial variable
title_sort on the cauchy theorem for hyperholomorphic functions of spatial variable
author Herus, O.F.
author_facet Herus, O.F.
publishDate 2017
language English
container_title Український математичний вісник
publisher Інститут прикладної математики і механіки НАН України
format Article
description We proved a theorem about the integral of quaternionic-differentiable functions of spatial variable over the closed surface. It is an analog of the Cauchy theorem from complex analysis.
issn 1810-3200
url https://nasplib.isofts.kiev.ua/handle/123456789/169319
citation_txt On the Cauchy theorem for hyperholomorphic functions of spatial variable / O.F. Herus // Український математичний вісник. — 2017. — Т. 14, № 2. — С. 153-160. — Бібліогр.: 15 назв. — англ.
work_keys_str_mv AT herusof onthecauchytheoremforhyperholomorphicfunctionsofspatialvariable
first_indexed 2025-12-01T13:33:41Z
last_indexed 2025-12-01T13:33:41Z
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