%0 Journal Article
%T Growth of the sth derivative of a polynomial with restricted zeros
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Ngamchui, Reingachan
%A Devi, Khangembam Babina
%A Chanam, Barchand
%D 2024
%\ 07/01/2024
%V 15
%N 7
%P 1-9
%! Growth of the sth derivative of a polynomial with restricted zeros
%K polynomials
%K Zeros
%K Inequalities
%K Maximum modulus
%R 10.22075/ijnaa.2023.27169.3521
%X In this paper, we establish some upper bound estimates for the maximum modulus of the higher order derivative of a polynomial with restricted zeros on a circle of $|z|=R$, $R\geq 1$, in terms of the maximum modulus of the same polynomial on the unit circle $|z|=1$. These results generalize and sharpen some known results in this direction.
%U https://ijnaa.semnan.ac.ir/article_8045_ad7a9e7e1a42f0f17afbdb019d205e62.pdf