Curvilinear Integral Theorem for G-Monogenic Mappings in the Algebra of Complex Quaternion

Kuzmenko, T. S. (2016) Curvilinear Integral Theorem for G-Monogenic Mappings in the Algebra of Complex Quaternion. International Journal of Advanced Research in Mathematics (6). pp. 21-25. ISSN 2297-6213

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Abstract

For G-monogenic mappings taking values in the algebra of complex quaternion we prove a curvilinear analogue of the Cauchy integral theorem in the case where a curve of integration lies on the boundary of a domain of G-monogeneity.

Item Type: Article
Uncontrolled Keywords: quaternion algebra, G-monogenic mapping, curvilinear Cauchy integral theorem.
Subjects: Q Science > QA Mathematics > Mathematical Analysis
Divisions: Faculty of Physics and Mathematics > Department of Mathematical Analysis
Depositing User: Ірина Ігорівна Таргонська
Date Deposited: 04 Mar 2019 14:57
Last Modified: 04 Mar 2019 14:57
URI: http://eprints.zu.edu.ua/id/eprint/28516

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