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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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Інститут прикладної математики і механіки НАН України
2016
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Series: | Український математичний вісник |
Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/145086 |
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irk-123456789-1450862019-01-15T01:23:45Z Generalized integral theorems for the quaternionic G-monogenic mappings Kuzmenko, T.S. Shpakivskyi, V.S. 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). 2016 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/145086 en Український математичний вісник Інститут прикладної математики і механіки НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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English |
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). |
format |
Article |
author |
Kuzmenko, T.S. Shpakivskyi, V.S. |
spellingShingle |
Kuzmenko, T.S. Shpakivskyi, V.S. Generalized integral theorems for the quaternionic G-monogenic mappings Український математичний вісник |
author_facet |
Kuzmenko, T.S. Shpakivskyi, V.S. |
author_sort |
Kuzmenko, T.S. |
title |
Generalized integral theorems for the quaternionic G-monogenic mappings |
title_short |
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_sort |
generalized integral theorems for the quaternionic g-monogenic mappings |
publisher |
Інститут прикладної математики і механіки НАН України |
publishDate |
2016 |
url |
http://dspace.nbuv.gov.ua/handle/123456789/145086 |
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. |
series |
Український математичний вісник |
work_keys_str_mv |
AT kuzmenkots generalizedintegraltheoremsforthequaternionicgmonogenicmappings AT shpakivskyivs generalizedintegraltheoremsforthequaternionicgmonogenicmappings |
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2023-05-20T17:21:11Z |
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2023-05-20T17:21:11Z |
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1796153103340273664 |