Differentiable functions of quaternion variables

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dc.creatorLudkovsky, S. V.
dc.creatorvan Oystaeyen, F.
dc.date2002-09-13
dc.date.accessioned2026-07-07T04:50:50Z
dc.date.available2026-07-07T04:50:50Z
dc.descriptionWe investigate differentiability of functions defined on regions of the real quaternion field and obtain a noncommutative version of the Cauchy-Riemann conditions. Then we study the noncommutative analog of the Cauchy integral as well as criteria for functions of a quaternion variable to be analytic. In particular, the quaternionic exponential and logarithmic functions are being considered. Main results include quaternion versions of Hurwitz' theorem, Mittag-Leffler's theorem and Weierstrass theorem.
dc.description48 pages, Latex
dc.identifierhttps://arxiv.org/abs/math/0209166
dc.identifierhttp://arxiv.org/abs/math/0209166
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64937
dc.subjectComplex Variables
dc.subject30C99 (Primary), 12E15, 30E20 (Secondary)
dc.titleDifferentiable functions of quaternion variables
dc.typetext

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