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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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Main Authors: Kuzmenko, T.S., Shpakivskyi, V.S.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2016
Series:Український математичний вісник
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/145086
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spelling 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
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language 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
first_indexed 2023-05-20T17:21:11Z
last_indexed 2023-05-20T17:21:11Z
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