Generalized integral theorems for quaternionic G-monogenic mappings
- Authors: Kuzmenko T.S.1, Shpakivskyi V.S.1
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Affiliations:
- Institute of Mathematics of the NAS of Ukraine
- Issue: Vol 224, No 4 (2017)
- Pages: 530-540
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/239636
- DOI: https://doi.org/10.1007/s10958-017-3433-1
- ID: 239636
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Abstract
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).
About the authors
Tetyana S. Kuzmenko
Institute of Mathematics of the NAS of Ukraine
Author for correspondence.
Email: kuzmenko.ts15@gmail.com
Ukraine, Kiev
Vitalii S. Shpakivskyi
Institute of Mathematics of the NAS of Ukraine
Email: kuzmenko.ts15@gmail.com
Ukraine, Kiev
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