eprintid: 28515 rev_number: 12 eprint_status: archive userid: 3588 dir: disk0/00/02/85/15 datestamp: 2019-03-04 14:56:28 lastmod: 2019-03-04 14:56:28 status_changed: 2019-03-04 14:56:28 type: article metadata_visibility: show title: Generalized integral theorems for the quaternionic G-monogenic mappings language: english abstract: For G-monogenic mappings taking values in the algebra of complex quaternions we generalize some analogues of classical integral theorems of the holomorphic function theory of a complex variable (the surface and the curvilinear Cauchy integral theorems). keywords: The algebra of complex quaternions, G- monogenic mappings, the Cauchy integral theorems. creators_name: Kuzmenko, T. S. creators_name: Shpakivskyi, V. S. ispublished: pub subjects: QA77 divisions: sch_man full_text_status: public date: 2016 date_type: published publication: Український математичний вiсник volume: 13 number: 4 pagerange: 499-513 refereed: TRUE citation: Kuzmenko, T. S., Shpakivskyi, V. S. (2016) Generalized integral theorems for the quaternionic G-monogenic mappings. Український математичний вiсник, 13 (4). с. 499-513. document_url: http://eprints.zu.edu.ua/28515/1/Kuz-Shp-umb-gen.pdf