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

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http://eprints.org/relation/isVersionOf http://eprints.zu.edu.ua/id/document/177306 http://eprints.org/relation/isVolatileVersionOf http://eprints.zu.edu.ua/id/document/177306 http://eprints.org/relation/issmallThumbnailVersionOf http://eprints.zu.edu.ua/id/document/177306 archive 3588 disk0/00/02/85/16 2019-03-04 14:57:19 2019-03-04 14:57:19 2019-03-04 14:57:19 article show Curvilinear Integral Theorem for G-Monogenic Mappings in the Algebra of Complex Quaternion english 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. quaternion algebra, G-monogenic mapping, curvilinear Cauchy integral theorem. Kuzmenko T. S. pub QA77 sch_man public 2016 published International Journal of Advanced Research in Mathematics 6 SciPress Ltd., Switzerland 21-25 TRUE 2297-6213