The Gauss-Lucas Theorem for Regular Quaternionic Polynomials

DOI10.1007/978-3-0346-0246-4_19zbMath1221.30121OpenAlexW103583282MaRDI QIDQ5392633

Fabio Vlacci

Publication date: 13 April 2011

Published in: Hypercomplex Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2158/385433

zbMATH Keywords

zeros and critical points of quaternionic polynomials

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Real polynomials: location of zeros (26C10)

Related Items (4)

Vieta's formulae for regular polynomials of a quaternionic variable ⋮ The quaternionic Gauss-Lucas theorem ⋮ On Bernstein and Erdős-Lax's inequalities for quaternionic polynomials ⋮ The Bernstein inequality for slice regular polynomials

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