On the number of zeros of a polynomial in a specified disk

Eze R. Nwaeze

On the number of zeros of a polynomial in a specified disk

Complex Variables 2016-09-27 v1

Authors: Eze R. Nwaeze

Abstract

Let $p(z)=a_0+a_1z+a_2z^2+a_3z^3+\cdots+a_nz^n$ be a polynomial of degree $n,$ where the coefficients $a_j,$ $j \in \{0,1,2,\cdots n\},$ may be complex. We impose some restriction on the coefficients of the real part of the given polynomial and then estimate the maximum number of zeros such polynomial can possibly have in a specified disk.

Keywords

zeros of polynomials specified disk complex coefficients polynomial root bound

Cite

@article{arxiv.1609.07755,
  title  = {On the number of zeros of a polynomial in a specified disk},
  author = {Eze R. Nwaeze},
  journal= {arXiv preprint arXiv:1609.07755},
  year   = {2016}
}

Comments

This is a preprint of a paper whose final and definite form is published open access in the International Journal of Pure and Applied Mathematics

On the number of zeros of a polynomial in a specified disk

Abstract

Keywords

Cite

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