Let P (z) be a polynomial of degree n. We consider an operator Dα that maps P (z) into DαP
(z):= nP (z)+(α− z) P0 (z) and establish some results concerning the estimates of 1DαP (z) 1 …

AHMAD ZIREH1 AND MAHMOOD BIDKHAM2 Abstract. For a polynomial p (z) of degree n,
we consider an operator Dα which map a polynomial p (z) into Dαp (z):=(α− z) p (z)+ np (z) …

If P (z) is a polynomial of degree n, and α a complex number, then polar derivative of P (z)
with respect to the point α, denoted by D α P (z), is defined by D α P (z)= n P (z)+(α− z) …

An Operator Preserving Inequalities Between Polynomials Page 1 Operator Preserving
Inequalities WM Shah and A. Liman vol. 9, iss. 1, art. 25, 2008 Title Page Contents ◀◀ ▶▶ …

We consider polynomials of the form \documentclass[12pt]{minimal} \usepackage{amsmath}
\usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} …

Erdös–Lax inequality relates the sup norm of the derivative of a polynomial along the unit
circle to that of the polynomial itself (on the unit circle). This paper aims to extend the …

Let p (z) be a polynomial of degree at most n, let Dαp (z)= np (z)+(α− z) p′(z), denote the
polar derivative of the polynomial p (z) with respect to α. In this paper, we consider an …

Some Generalization for an Operator Which Preserving Inequalities Between Polynomials 1
Introduction and statement of results Page 1 Analysis in Theory and Applications Anal. Theory …

In this paper, we extend a result recently proved by Liman et al.(Complex Anal. Oper. Theory
6: 1199-1209, 2012. doi: 10.1007/s11785-010-0120-3) to the polar derivative of a …

For a polynomial p (z) of degree n, we consider an operator Dα which map a polynomial p
(z) into Dαp (z):=(α− z) p′(z)+ np (z) with respect to α. It was proved by Liman et al.(2010) …