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Integral theorems for the quaternionic G-monogenic mappings

Published 17 Dec 2014 in math.CV | (1412.5320v1)

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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