Differential topological aspects in octonionic monogenic function theory

DOI10.1007/s00006-020-01074-8zbMath1455.30041arXiv2006.03665OpenAlexW3044083951MaRDI QIDQ2194022

Rolf Sören Krausshar

Publication date: 25 August 2020

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.03665

zbMATH Keywords

Rouché's theoremHurwitz theoremoctonionsargument principlewinding numbersisolated and non-isolated zeroes

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (2)

Cauchy-Riemann operators and local slice analysis over real alternative algebras ⋮ Slice monogenic functions of a Clifford variable via the 𝑆-functional calculus

Cites Work

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• Octonionic geometry and conformal transformations
• Entire Slice Regular Functions
• The Geometry of the Octonions
• The octonions
• Characterization of octonionic analytic functions
• Sedenions: Algebra and analysis

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