Sibling curves of polynomials
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Date
Authors
Engelbrecht, Johann
Fouche, W.
Harding, Ansie
Wiggins, Harry
Journal Title
Journal ISSN
Volume Title
Publisher
Routledge
Abstract
Sibling curves were demonstrated in papers [2, 3] as a novel way to
visualize the zeros of complex valued functions. In this paper, we continue the work
done in those papers by focusing solely on polynomials. We proceed to prove that
the number of sibling curves of a polynomial is the degree of the polynomial.
Description
Keywords
Polynomials, Fundamental theorem of Algebra, Sibling curves, Visualizing roots
Sustainable Development Goals
Citation
H. Wiggins, A. Harding, J. Engelbrecht & W. Fouche (2015) Sibling Curves of Polynomials, Quaestiones Mathematicae, 38:6, 759-769, DOI: 10.2989/16073606.2014.981727.