Let p (z) be a polynomial of degree n having no zero in| z|< k, k≤ 1, then Govil proved
$$\max_ {{\mid} z {\mid}= 1}{\mid} p^{\prime}(z){\mid}{\leq}{\frac {n}{1+ k^ n}}\max_ {{\mid} z …

| P (z)|. In this paper we shall estimate M (P', ρ) in terms of M (P, r) where P (z) does not
vanish in the disk| z|≤ K, K≥ 1, 0≤ r< ρ< K and obtain an interesting refinement of some …

Let p (z) be a polynomial of degree n having no zero in| z|< k, k≤ 1, then Govil [Proc. Nat.
Acad. Sci., 50 (1980), 50-52] proved max| z|= 1| p′(z)|≤ n 1+ kn max| z|= 1| p (z)|, provided …

Let p (z) be a polynomial of degree n and for any real or complex number α, Dα p (z)
denotes the polar derivative of p (z) with respect to α, then D α p (z)= np (z)+(α− z) p'(z). In …

Inequalities Concerning Maximum Modulus of Polynomials Page 1 Thai Journal of
Mathematics Volume 9 (2011) Number 2 : 297–304 www.math.science.cmu.ac.th/thaijournal …

I   G  D   P Page 1 African
Diaspora Journal of Mathematics Volume 18, Number 2, pp. 18–25 (2015) ISSN 1539-854X …

In this paper we consider a class of polynomials p| z|= a< sub> 0+ Σ< sup> n< sub> j= 1 a<
sub> jz< sup> j, 1≤ µ≤ n, not vanishing in z &lt; k, k≥ 1 and obtain some inequalities for …

MAXIMUM MODULUS OF THE DERIVATIVES OF A POLYNOMIAL 1. Introduction and
preliminaries For an arbitrary entire function f(z), let Page 1 Int. J. Nonlinear Anal. Appl. 2 (2011) …

Let p (z) be a polynomial of degree n and D∝ p (z)= np (z)+(∝− z) p (z) denote the polar
derivative of the polynomial p (z) with respect to the point∝. In this paper we obtain an …