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arXiv · 1412.5320

Integral theorems for the quaternionic G-monogenic mappings

V. S. Shpakivskyi·T. S. Kuzmenko
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Abstract

In the paper [1] considered a new class of quaternionic mappings, so-called $G$-monogenic mappings. In this paper we prove analogues of classical integral theorems of the holomorphic function theory: the Cauchy integral theorems for surface and curvilinear integrals, and the Cauchy integral formula for $G$-monogenic mappings.

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V. S. Shpakivskyi, T. S. Kuzmenko. 2014-12-17. Integral theorems for the quaternionic G-monogenic mappings. https://arxiv.org/abs/1412.5320

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