Sibling curves of cubic polynomials

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Authors

Wiggins, Harry

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NISC (Pty) Ltd and Informa UK Limited (trading as the Taylor & Francis Group)

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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Keywords

Sibling curves, Cubic polynomials, Polynomials, Complex numbers

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Citation

Harry Wiggins (2020): Sibling curves of cubic polynomials, Quaestiones Mathematicae 43(8):1083-1090, DOI: 10.2989/16073606.2019.1600595.