Growth of the sth derivative of a polynomial with restricted zeros
نویسندگان
1 Department of Mathematics, National Institute of Technology Manipur, Manipur-795004, India
2 Department of Mathematics, National Institute of Technology Manipur, Manipur-795004, India
3 Department of Mathematics, National Institute of Technology Manipur, Manipur-795004, India
doi
10.22075/ijnaa.2023.27169.3521چکیده
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.
