<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

Integral theorems for the quaternionic G-monogenic mappings

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

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{"article-title":"Integral theorems for the quaternionic G-monogenic mappings"}

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...

Integral theorems for the quaternionic G-monogenic mappings

Published Online: Sep 21, 2017

Page range: 271 - 281

Received: Dec 17, 2014

Accepted: Jan 07, 2015

DOI: https://doi.org/10.1515/auom-2016-0042

Keywords
quaternion algebra, G-monogenic mapping, Cauchy integral theorem, Cauchy integral formula

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Integral theorems for the quaternionic G-monogenic mappings

Published Online: Sep 21, 2017

Page range: 271 - 281

Received: Dec 17, 2014

Accepted: Jan 07, 2015

DOI: https://doi.org/10.1515/auom-2016-0042

Keywordsquaternion algebra, G-monogenic mapping, Cauchy integral theorem, Cauchy integral formula

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
quaternion algebra, G-monogenic mapping, Cauchy integral theorem, Cauchy integral formula