Research Article

Sibling curves of cubic polynomials

Published in: Quaestiones Mathematicae
Volume 43 , issue 8 , 2020 , pages: 1083–1090

DOI: 10.2989/16073606.2019.1600595

Author(s): Harry Wiggins , South Africa

Keywords: Primary: 12D10 , Secondary: 30A99 , Primary: 12D10 , Secondary: 30A99

Abstract

Sibling curves are a new way to represent the zeroes of any complex-valued function. Interesting results are already known for the sibling curves of quadratic polynomials. In this article a complete investigation of sibling curves of cubic polynomials is given. This article concludes by providing a new general result for the sibling curves of complex polynomials.

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