Sibling curves of cubic polynomials

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.

Mathematics Subject Classification (2010):

• Primary: 12D10
• Secondary: 30A99

Key words:

• Complex numbers
• polynomials
• cubic polynomials
• sibling curves