Suhail Gulzar

activity

20132024

most citedSome extensions of Eneström-Kakeya Theorem

3 citations · 10 across the 11 of their papers we have counts for

collaborators

11 papers

math.CV2024

On the zeros of certain composite polynomials and an operator preserving inequalities

N. A. Rather, Ishfaq Dar, Suhail Gulzar

If all the zeros of $n$ th degree polynomials $f (z)$ and $g (z) = \sum_{k = 0}^{n} λ_{k} (k n) z^{k}$ respectively lie in the cricular regions $∣ z ∣ \leq r$ and $∣ z ∣ \leq s ∣ z - σ ∣$ , $s > 0$ ,…

math.CV2024

On Visser's inequality concerning coefficient estimates for a polynomial

Suhail Gulzar, N. A. Rather, M. S Wani

If $P (z) = \sum_{j = 0}^{n} a_{j} z^{j}$ is a polynomial of degree $n$ having no zero in $∣ z ∣ < 1,$ then it was recently proved that for every $p \in [0, + \infty]$ and $s = 0, 1, \dots, n - 1,$ \begin{…

math.CV2019

A note on a recent attempt to prove Sendov's conjecture

N. A. Rather, Suhail Gulzar

Recently GM Sofi & SA Shabir [arXive: 1903.01850v2 [math.GM] 6 Mar 2019] made an attempt to prove the Sendov's conjecture. But unfortunately the proof is not correct. In this note,…

math.CV2015★ 3 cited

Some extensions of Eneström-Kakeya Theorem

N. A. Rather, Suhail Gulzar, S. H. Ahangar

In this paper we obtain some refinements of a well-known result of Eneströ-Kakeya concerning the bounds for the moduli of the zeros of polynomials with complex coefficients which i…

math.CV2014

On an inequality concerning the polar derivative of a polynomial with restricted zeros

N. A. Rather, Suhail Gulzar

Let $D_{α} P (z) = n P (z) + (α - z) P^{'} (z)$ denote the polar derivative of a polynomial $P (z)$ of degree $n$ with respect to a point $α \in C .$ In this paper, we present a correc…

math.CV2014★ 1 cited

On the polar derivative of a polynomial

N. A. Rather, S. H. Ahangar, Suhail Gulzar

Let $P (z)$ be a polynomial of degree $n$ having no zero in $∣ z ∣ < k$ where $k \geq 1,$ then for every real or complex number $α$ with $∣ α ∣ \geq 1$ it is known \begin{equation*} \unders…

math.CV2013★ 3 cited

On annulus containing all the zeros of a polynomial

N. A. Rather, Suhail Gulzar

In this paper, we obtain an annulus containing all the zeros of the polynomial involving binomial coefficients and generalized Fibonacci numbers. Our result generalize some of the…

math.CV2013

Lp mean estimates for an operator preserving inequalities between polynomials

N. A. Rather, Suhail Gulzar

If $P (z)$ be a polynomial of degree at most $n$ which does not vanish in $∣ z ∣ < 1$ , it was recently formulated by Shah and Liman \cite[\textit{Integral estimates for the family of…

math.CV2013

Zygmund-type inequalities for an operator preserving inequalities between polynomials

Nisar. A. Rather, Suhail Gulzar, K. A. Thakur

In this paper, we present certain new $L_{p}$ inequalities for $B_{n}$ -operators which include some known polynomial inequalities as special cases.

math.CV2013★ 3 cited

Inequalities for the polar derivative of a polynomial

N. A. Rather, Suhail Gulzar

Let $P (z)$ be a polynomial of degree $n$ and for any real or complex number $α,$ let $D_{α} P (z) = n P (z) + (α - z) P^{'} (z)$ denote the polar derivative with respect to $α .$ In this…

math.CV2013

Integral mean estimates for the polar derivative of a polynomial

N. A. Rather, Suhail Gulzar

Let $P (z)$ be a polynomial of degree $n$ having all zeros in $∣ z ∣ \leq k$ where $k \leq 1,$ then it was proved by Dewan \textit{et al} that for every real or complex number $α$ w…