ON ERDOS-LAX INEQUALITY CONCERNING POLYNOMIALS

Abstract

Recently Milovanovic et al. [Bulletin T.CLIII de l'Acaemie serbe des sciences
et des arts - 2020.] proved that if P(z) 2 Pn with no zeros in jzj < k, k 1,
then

P0(z)


kPk
2

n ????

n

k ???? 1
k + 1

+
2
k + 1

jc0j ???? knjcnj
jc0j + knjcnj

jP(z)j2
kPk2

; jzj = 1
where P(z) = c0 + c1z + + cnzn 2 Pn is a polynomial of degree n. In this paper,
we obtain some results concerning the class of polynomials having s????fold zero at origin.
These results not only generalizes but also renes many well-known results due to
Milovanov