N. A. Rather

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20132025

most citedOn the polar derivative of a polynomial

1 citations · 1 across the 4 of their papers we have counts for

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math.CV2025

A Note On Generalized $L_{p}$ Inequalities for the polar derivative of a polynomial

N. A. Rather, Danish Rashid Bhat, Tanveer Bhat

Let $ P(z) $ be a polynomial of degree $ n $ and $α \in C$ . The polar derivative of $ P(z) $, denoted by $ D_αP(z) $ and is defined by $D_αP(z): = nP(z) + (α-z)P'(z…

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

On an operator preserving inequalities between polynomials

N. A. Rather, Suhail Gulzar

Let $P_{n}$ denote the space of all complex polynomials $P (z) = \sum_{j = 0}^{n} a_{j} z^{j}$ of degree $n$ and $B_{n}$ a family of operators that maps $P_{n}$ …

A Note On Generalized Lp​ Inequalities for the polar derivative of a polynomial

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

On the polar derivative of a polynomial

On an operator preserving inequalities between polynomials

A Note On Generalized $L_{p}$ Inequalities for the polar derivative of a polynomial