Location of zeros of polynomials with complex coefficients

Gangadhar, C.; Ramulu, P.; Reddy, G.L.

doi:10.28919/jmcs/6030

J. Math. Comput. Sci. 11 (2021), 6557–6567

Location of zeros of polynomials with complex coefficients

C. Gangadhar, P. Ramulu, G.L. Reddy

PDF (120.1 KB) https://doi.org/10.28919/jmcs/6030

Abstract

In this paper we extended Enestrom-Kakeya theorem (Let P(z)=∑a_izⁱ be a polynomial of degree n such that 0<a₀≤a₁≤…≤a_n then all the zeros of P(z) lie in |z|≤1) and our results [1] by relaxing the hypothesis in different ways by considering complex coefficients we get various other results which in term generalizes.

Published: 16 August 2021
Volume: 11 (2021)
License: CC BY 3.0

Copyright © 2021 C. Gangadhar, P. Ramulu, G.L. Reddy. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

C. Gangadhar, P. Ramulu, G. L. Reddy, Location of zeros of polynomials with complex coefficients, J. Math. Comput. Sci. 11 (2021), 6557–6567. https://doi.org/10.28919/jmcs/6030

BibTeX

@article{Gangadhar2021,
  author  = {Gangadhar, C. and Ramulu, P. and Reddy, G.L.},
  title   = {Location of zeros of polynomials with complex coefficients},
  journal = {J. Math. Comput. Sci.},
  volume  = {11},
  year    = {2021},
  pages   = {6557--6567},
  doi     = {10.28919/jmcs/6030}
}