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) …

Some Lower Bound Estimates for the Polar Derivatives of Polynomials with Restricted Zeros
Page 1 J. Ana. Num. Theor. 9, No. 1, 1-5 (2021) 1 Journal of Analysis & Number Theory An …

Let Pn be the class of polynomials of degree at most n. Rahman introduced a class Bn of
operators B that map Pn into itself. In this paper we prove some results concerning the …

For the class of polynomials of degree n having all their zeros in where k≤ 1, Aziz and Shah
[4] proved that for each r> 0, In this paper, we extend this inequality to the polar derivative in …