Limited polynomials and sendov's conjecture

2019/03/04 by Agama, Theophilus
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1903.01578

Abstract

In this paper we study a particular class of polynomials. We study the distribution of their zeros, including the zeros of their derivatives as well as the interaction between this two. We prove a weak variant of the sendov conjecture in the case the zeros are real and are of the same sign.

Related

• On the Sendov conjecture for polynomials with simple zeros
• Sendov conjecture for high degree polynomials
• A Proof of Sendov's Conjecture
• Sendov's conjecture for sufficiently high degree polynomials
• Proof of Sendov's conjecture