The quaternionic Gauss-Lucas theorem

DOI10.1007/s10231-018-0742-zzbMath1414.30051arXiv1712.00744OpenAlexW2772196135WikidataQ130045224 ScholiaQ130045224MaRDI QIDQ1756460

Riccardo Ghiloni, Alessandro Perotti

Publication date: 14 January 2019

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.00744

zbMATH Keywords

quaternionic polynomialsGauss-Lucas theorem

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Polynomials and rational functions of one complex variable (30C10)

Related Items (5)

Roots and critical points of polynomials over Cayley–Dickson algebras ⋮ On fiber bundles and quaternionic slice regular functions ⋮ A quaternionic Bernstein theorem ⋮ On the inequalities of Turán, Bernstein and Erdős-Lax in quaternionic setting ⋮ The Bernstein inequality for slice regular polynomials

Cites Work

• Slice regular functions on real alternative algebras
• Regular Functions of a Quaternionic Variable
• The Gauss-Lucas Theorem for Regular Quaternionic Polynomials
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