# Limited polynomials and sendov's conjecture

## TL;DR

This paper investigates a specific class of polynomials, analyzing their zeros and derivatives, and proves a weak version of Sendov's conjecture for real, same-sign zeros.

## Contribution

It introduces a study of a particular polynomial class and establishes a partial proof of Sendov's conjecture under specific conditions.

## Key findings

- Zeros and derivatives distribution analyzed
- Weak Sendov's conjecture proved for real, same-sign zeros
- Interaction between zeros and derivatives explored

## 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.