On the Zeros of Generalized Derivative of a Complex Polynomial
Abstract
Abstract In this paper, we determine the regions which enclose all the zeros of the generalized derivative of a polynomial. The established results provide an extension to some interesting results. Specifically, we present new geometric properties of the zeros and their bounds, which offer a deeper understanding of their distribution in the complex plane.
Fields of Study & Subjects
Mathematical functions and polynomials
Analytic and geometric function theory
Polynomial and algebraic computation
Publication details
- Journal / source
- Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)
- Volume
- 61
- Issue
- 1
- Pages
- 16–21
- Publication date
- 1 February 2026
- Language
- EN