Generalized integral theorems for the quaternionic G-monogenic mappings
For G-monogenic mappings taking values in the algebra of complex quaternions, we generalize some analogues of classical integral theorems of the holomorphic function theory of complex variable (the surface and curvilinear Cauchy integral theorems).
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| Veröffentlicht in: | Український математичний вісник |
|---|---|
| Datum: | 2016 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2016
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/145086 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Generalized integral theorems for the quaternionic G-monogenic mappings / T.S. Kuzmenko, V.S. Shpakivskyi // Український математичний вісник. — 2016. — Т. 13, № 4. — С. 499-513. — Бібліогр.: 9 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862746158192918528 |
|---|---|
| author | Kuzmenko, T.S. Shpakivskyi, V.S. |
| author_facet | Kuzmenko, T.S. Shpakivskyi, V.S. |
| citation_txt | Generalized integral theorems for the quaternionic G-monogenic mappings / T.S. Kuzmenko, V.S. Shpakivskyi // Український математичний вісник. — 2016. — Т. 13, № 4. — С. 499-513. — Бібліогр.: 9 назв. — англ. |
| collection | DSpace DC |
| container_title | Український математичний вісник |
| description | For G-monogenic mappings taking values in the algebra of complex quaternions, we generalize some analogues of classical integral theorems of the holomorphic function theory of complex variable (the surface and curvilinear Cauchy integral theorems).
|
| first_indexed | 2025-12-07T20:44:22Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-145086 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1810-3200 |
| language | English |
| last_indexed | 2025-12-07T20:44:22Z |
| publishDate | 2016 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Kuzmenko, T.S. Shpakivskyi, V.S. 2019-01-14T20:31:48Z 2019-01-14T20:31:48Z 2016 Generalized integral theorems for the quaternionic G-monogenic mappings / T.S. Kuzmenko, V.S. Shpakivskyi // Український математичний вісник. — 2016. — Т. 13, № 4. — С. 499-513. — Бібліогр.: 9 назв. — англ. 1810-3200 2010 MSC. 30G35, 57R35 https://nasplib.isofts.kiev.ua/handle/123456789/145086 For G-monogenic mappings taking values in the algebra of complex quaternions, we generalize some analogues of classical integral theorems of the holomorphic function theory of complex variable (the surface and curvilinear Cauchy integral theorems). en Інститут прикладної математики і механіки НАН України Український математичний вісник Generalized integral theorems for the quaternionic G-monogenic mappings Article published earlier |
| spellingShingle | Generalized integral theorems for the quaternionic G-monogenic mappings Kuzmenko, T.S. Shpakivskyi, V.S. |
| title | Generalized integral theorems for the quaternionic G-monogenic mappings |
| title_full | Generalized integral theorems for the quaternionic G-monogenic mappings |
| title_fullStr | Generalized integral theorems for the quaternionic G-monogenic mappings |
| title_full_unstemmed | Generalized integral theorems for the quaternionic G-monogenic mappings |
| title_short | Generalized integral theorems for the quaternionic G-monogenic mappings |
| title_sort | generalized integral theorems for the quaternionic g-monogenic mappings |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/145086 |
| work_keys_str_mv | AT kuzmenkots generalizedintegraltheoremsforthequaternionicgmonogenicmappings AT shpakivskyivs generalizedintegraltheoremsforthequaternionicgmonogenicmappings |