The full power of the half-power

DOI10.1016/j.exmath.2022.10.002zbMath1503.30024OpenAlexW4308743612MaRDI QIDQ2105653

Pablo Amster, José Ángel Cid

Publication date: 8 December 2022

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.exmath.2022.10.002

zbMATH Keywords

Brouwer degreeBrouwer fixed point theoremWinding numberFundamental Theorem of Algebracomplex square root

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Cites Work

• Bolzano's theorems for holomorphic mappings
• An Analog of Bolzano's Theorem for Functions of a Complex Variable
• Simple Proofs of the Hadamard and Poincaré–Miranda Theorems Using the Brouwer Fixed Point Theorem
• The Power of the Half Power
• A Direct Proof and a Transcendental Version of the Fundamental Theorem of Algebra via Cauchy’s Theorem
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