eprintid: 28408 rev_number: 11 eprint_status: archive userid: 3588 dir: disk0/00/02/84/08 datestamp: 2019-02-26 09:00:34 lastmod: 2019-02-26 09:01:51 status_changed: 2019-02-26 09:00:34 type: article metadata_visibility: show title: On the Cauchy theorem for hyperholomorphic functions of spatial variable language: english abstract: We proved a theorem about the integral of quaternionic-differentiable functions of spatial variable over the closed surface. It is an analog of the Cauchy theorem from complex analysis. keywords: Quaternion, Dirac operator, differentiable function. creators_name: Герус, О. Ф. ispublished: pub subjects: QA77 divisions: sch_man full_text_status: public date: 2018-02 date_type: published publication: Journal of Mathematical Sciences number: 1 publisher: Springer Science+Business Media pagerange: 1-6 refereed: TRUE issn: 1072-3374 citation: Герус, О. Ф. (2018) On the Cauchy theorem for hyperholomorphic functions of spatial variable. Journal of Mathematical Sciences (1). pp. 1-6. ISSN 1072-3374 document_url: http://eprints.zu.edu.ua/28408/1/1-6%20%281%29.pdf