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] On the location of the zeros of analytic functions

KK Dewan, NK Govil - International Journal of Mathematics and …, 1990 - emis.icm.edu.pl
In this paper we obtain regions containing all thezeros of a class of analytic functions whose
coefficients are subject to certain conditions. Our results sharpen some of the results known …

[PDF][PDF] Some results on the zeros of polynomials and related analytic functions

Y Choo - Int. J. Math. Anal, 2011 - m-hikari.com
Many results on the location of zeros of polynomials and analytic functions are available in
the literature. In this paper we extend some existing results on the zeros of polynomials by …

An norm inequality related to extremal polynomials

A Rehouma, H Pripawanto Suryawan - arXiv e-prints, 2025 - ui.adsabs.harvard.edu
Let $ E $ be a Jordan rectifiable curve in the complex plane and let $ G $ be the bounded
component of $\mathbb {C}\backslash E $. Now let $ n\in\mathbb {N} $, and let $ m_ {n, E} …

[PDF][PDF] On the zero-free regions of analytic functions

YJ Kim - Int. J. Math. Anal, 2012 - m-hikari.com
Abstract The Eneström-Kakeya theorem is well known in the theory of zero distribution of
polynomials. In the literature some attempts have been made to generalize the Eneström …

[PDF][PDF] On the zeros of a class of polynomials

WM Shah, A Liman - MATHEMATICAL INEQUALITIES AND …, 2007 - files.ele-math.com
In this paper we prove some results concerning the distribution of the zeros of a polynomial
in the complex plane. Our results not only contain some known generalizations of Eneström …

[PDF][PDF] On the Distribution of Poles of Meromorphic Functions in the Light of Slowly Changing Functions

SK Datta, T Molla - researchgate.net
A meromorphic function on 𝐷⊆ ℂ is a ratio of analytic functions with denominator identically
non zero on D. Poles of such functions arise from zeros in the denominator where the …

[PDF][PDF] A NOTE ON ENESTR OM–KAKEYA THEOREM

WM Shah, R Rashid - Journal of Classical Analysis, 2022 - files.ele-math.com
A note on Eneström-Kakeya theorem Page 1 Journal of Classical Analysis Volume 19, Number
1 (2022), 39–47 doi:10.7153/jca-2022-19-04 A NOTE ON ENESTR OM–KAKEYA THEOREM …

A note on the location of poles of meromorphic functions

S Kumar Datta, T Molla - Journal of Hyperstructures, 2021 - jhs.uma.ac.ir
A meromorphic function on an open set D contained in the finite complex plane C is of the
form of the ratio betweentwo analytic functions defined on D with denominator not identically …

[PDF][PDF] On The Zeros of Certain Class of Polynomials

BA Zargar - International Journal of Modern Engineering Research - academia.edu
Let P (z) be a polynomial of degree n with real or complex coefficients. The aim of this paper
is to obtain a ring shaped region containing all the zeros of P (z). Our results not only …