International Journal of Nonlinear Analysis and Applications

Growth of the sth derivative of a polynomial with restricted zeros

Document Type : Research Paper

Authors

Department of Mathematics, National Institute of Technology Manipur, Manipur-795004, India

Abstract

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.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 15, Issue 7
July 2024
Pages 1-9
  • Receive Date: 14 May 2022
  • Revise Date: 10 August 2023
  • Accept Date: 12 August 2023