Power and Laurent series in the algebra of complex quaternions

zbMATH Open1340.30001arXiv1503.05218MaRDI QIDQ3464290

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Publication date: 20 January 2016

Abstract: Taylor's and Laurent's expansions of $G$-monogenic mappings taking values in the algebra of complex quaternion are obtained and singularities of these mappings are classified.

Full work available at URL: https://arxiv.org/abs/1503.05218

zbMATH Keywords

Taylor expansionLaurent expansioncomplex quaternion

Mathematics Subject Classification ID

Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Monogenic and polygenic functions of one complex variable (30A05)

Related Items (3)

THETA SERIES OVER THE HURWITZ QUATERNIONS ⋮ On monogenic mappings of a quaternionic variable ⋮ THE LAURENT SERIES FOR THE QUATERNIONIC CASE

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