Sibling curves of cubic polynomials

Abstract

Sibling curves are a new way to represent the zeroes of any complexvalued 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.

Mathematics Subject Classification (2010): Primary: 12D10; Secondary: 30A99

Keywords: Complex numbers, polynomials, cubic polynomials, sibling curves