eprintid: 28516 rev_number: 11 eprint_status: archive userid: 3588 dir: disk0/00/02/85/16 datestamp: 2019-03-04 14:57:19 lastmod: 2019-03-04 14:57:19 status_changed: 2019-03-04 14:57:19 type: article metadata_visibility: show title: Curvilinear Integral Theorem for G-Monogenic Mappings in the Algebra of Complex Quaternion language: english 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. keywords: quaternion algebra, G-monogenic mapping, curvilinear Cauchy integral theorem. creators_name: Kuzmenko, T. S. ispublished: pub subjects: QA77 divisions: sch_man full_text_status: public date: 2016 date_type: published publication: International Journal of Advanced Research in Mathematics number: 6 publisher: SciPress Ltd., Switzerland pagerange: 21-25 refereed: TRUE issn: 2297-6213 citation: 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 document_url: http://eprints.zu.edu.ua/28516/1/Kuz-IJARM.pdf