[HTML][HTML] Some extensions of Enestrom-Kakeya theorem

A Aziz, BA Zargar - Glasnik Matematicki, 1996 - books.google.com
Some extensions of Enestrom-Kakeya theorem Page 55 GLASNIK MATEMATltKI Vol. 31 (51)(1W6),
239-244 SOME EXTESIONS OF ENESTROM—KAKEYA THEOREM Abdul Aziz and BA …

Eneström–Kakeya theorem and some of its generalizations

RB Gardner, NK Govil - Current topics in pure and computational complex …, 2014 - Springer
The study of the zeros of polynomials has a very rich history. In addition to having numerous
applications, this study has been the inspiration for much theoretical research (including …

[PDF][PDF] Bounds for the zeros of a polynomial with restricted coefficients

A Aziz, BA Zargar - Appl. Math, 2012 - file.scirp.org
Bounds for the Zeros of a Polynomial with Restricted Coefficients Page 1 Applied Mathematics,
2012, 3, 30-33 http://dx.doi.org/10.4236/am.2012.31005 Published Online January 2012 …

On Eneström-Kakeya theorem and related analytic functions

WM Shah, A Liman - Proceedings Mathematical Sciences, 2007 - Springer
On Eneström-Kakeya theorem and related analytic functions Page 1 Proc. Indian
Acad. Sci. (Math. Sci.) Vol. 117, No. 3, August 2007, pp. 359–370. © Printed in India On …

Bounds for the zeros of polynomials from eigenvalues and singular values of some companion matrices

H Linden - Linear algebra and its applications, 1998 - Elsevier
Let a monic polynomial Pn (x)≔ xn− a1xn-1−···− an, aj∈% plane1D; 49E; j= 1, 2,…, n, be
given. Bounds for the eigenvalues and the computation of the singular values of some …

[HTML][HTML] A generalization of Eneström-Kakeya Theorem and a zero free region of a polynomial

MA Shah, R Swroop, HM Sofi, I Nisar - Journal of Applied Mathematics and …, 2021 - scirp.org
For the polynomial P (z)= ajzj, aj≥ aj-1, a0> 0, j= 1, 2,…, n, an> 0, a classical result of
Eneström-Kakeya says that all the zeros of P (z) lie in| z|≤ 1. This result was generalised by …

[PDF][PDF] The number of zeros of a polynomial in a disk

R Gardner, B Shields - J. Class. Anal, 2013 - academia.edu
In this paper, we put restrictions on the coefficients of polynomials and give bounds
concerning the number of zeros in a specific region. Our results generalize a number of …

On the zeros of polynomials and related analytic functions

A Aziz, WM Shah - Glasnik matematički, 1998 - hrcak.srce.hr
Sažetak Let P (z) be a polynomial of degree n with real or complex coefficients. In this paper
we obtain a ring shaped region containing all the zeros of P (z). Our result include, as …

[PDF][PDF] Some generalization of Eneström-Kakeya theorem

P Ramulu - International Journal of Mathematics and Statistics …, 2015 - ijmsi.org
In this paper we prove some extension of the Eneström-Kakeya theorem by relaxing the
hypothesis of this result in several ways and obtain zero-free regions for polynomials with …

On the zero bounds of polynomials and regular functions of a quaternionic variable

GV Milovanović, A Mir - Applicable Analysis and Discrete Mathematics, 2023 - JSTOR
In this manuscript, we are concerned with the problem of locating the zeros of some special
quaternionic polynomials and regular functions with restricted coefficients; namely …