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.

Keywords

• quaternion algebra
• g-monogenic mapping
• cauchy integral theorem
• cauchy integral formula
• primary 30g35
• secondary 11r52