Integral theorems for the quaternionic G-monogenic mappings

V. S. Shpakivskyi; T. S. Kuzmenko

doi:10.1515/auom-2016-0042

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Integral theorems for the quaternionic G-monogenic mappings

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 24 (2016): Issue 2 (June 2016)

By: V. S. Shpakivskyi and T. S. Kuzmenko

Open Access

|Sep 2017

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.

References

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DOI: https://doi.org/10.1515/auom-2016-0042 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 271 - 281

Submitted on: Dec 17, 2014

Accepted on: Jan 7, 2015

Published on: Sep 21, 2017

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

quaternion algebra,

G-monogenic mapping,

Cauchy integral theorem,

Cauchy integral formula

Related subjects:

Mathematics,

General mathematics

© 2017 V. S. Shpakivskyi, T. S. Kuzmenko, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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