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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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Bibliographic Details
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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Description
Summary: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).