Geometry of a Class of Generalized Cubic Polynomials

This paper studies a class of generalized complex cubic polynomials of the form p(z)=(z-1)(z-r_1)^k(z-r_2)^k where r_1 and r_2 lie on the unit circle and k is a natural number.  We completely characterize where the nontrivial critical points of p can lie, and to what extent they determine the polyno...

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Bibliographic Details
Main Author: Christopher Frayer
Format: Article
Language:English
Published: Etamaths Publishing 2015-08-01
Series:International Journal of Analysis and Applications
Online Access:http://etamaths.com/index.php/ijaa/article/view/544

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