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Generalized integral theorems for quaternionic G-monogenic mappings


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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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