Integral theorems for the quaternionic G-monogenic mappings

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.

Submitted to An. St. Univ. Ovidius Constanta

References in corpus (1)

• On one class of quaternionic mappings