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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| Veröffentlicht in: | Український математичний вісник |
|---|---|
| Datum: | 2017 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2017
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/169319 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862647485281861632 |
|---|---|
| author | Herus, O.F. |
| author_facet | Herus, O.F. |
| 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. |
| collection | DSpace DC |
| container_title | Український математичний вісник |
| 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.
|
| first_indexed | 2025-12-01T13:33:41Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-169319 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1810-3200 |
| language | English |
| last_indexed | 2025-12-01T13:33:41Z |
| publishDate | 2017 |
| publisher | Інститут прикладної математики і механіки НАН України |
| 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 |
| spellingShingle | On the Cauchy theorem for hyperholomorphic functions of spatial variable Herus, O.F. |
| title | 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_short | On the Cauchy theorem for hyperholomorphic functions of spatial variable |
| title_sort | on the cauchy theorem for hyperholomorphic functions of spatial variable |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/169319 |
| work_keys_str_mv | AT herusof onthecauchytheoremforhyperholomorphicfunctionsofspatialvariable |