Some Recent Results on the Geometry of Complex Polynomials: The Gauss--Lucas Theorem, Polynomial Lemniscates, Shape Analysis, and Conformal Equivalence
11 Jan 2020
Richards Trevor J.
In this article, we survey the the recent literature surrounding the geometry
of complex polynomials. Specific areas surveyed are i) Generalizations of the
Gauss--Lucas Theorem, ii) Geometry of Polynomials Level Sets, and iii) Shape
Analysis and Conformal Equivalence...