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A Recurrent Proof of the Fundamental Theorem of Algebra
Version 1
: Received: 14 August 2024 / Approved: 15 August 2024 / Online: 15 August 2024 (15:19:41 CEST)
How to cite: Manca, V. A Recurrent Proof of the Fundamental Theorem of Algebra. Preprints 2024, 2024081127. https://doi.org/10.20944/preprints202408.1127.v1 Manca, V. A Recurrent Proof of the Fundamental Theorem of Algebra. Preprints 2024, 2024081127. https://doi.org/10.20944/preprints202408.1127.v1
Abstract
The Polynomial coefficient function, from the complex hyperspace Cn in itself, is the function Fn that provides the coefficients of the polynomial (x - a1)(x - a2)... (x-an). A proof of the fundamental theorem of algebra is given where the surjectivity of this function is obtained from a Recurrent Coefficient Equation.
Keywords
Fundamental Theorem of Algebra; Recurrent Equation; Polynomial Coefficient Function; Complex Hyperspace
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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