Some Inequalities Concerning to the Polar Derivative of a Polynomial with restricted zeros

  • Prof. Idrees Qasim
  • Sivaramakrishnan Chinnakali

Abstract

In this paper, we establish some results concerning the polar derivative of a polynomial
having all its zeros inside or outside a circle of radius k, k ≤ 1. Our results besides presenting
refinement of some prior inequalities concerning to polar derivative of polynomials, generalizes certain
well-known polynomial inequalities.

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Published
2026-03-25
Section
Research Articles