Some Localization of the Zeros of the Third Derivatives of a Complex Polynomial the Disks or Generalized Cardioid Interioriors

Authors

  • Todor Stoyanov Stoyanov University of Economics Varna, Varna, Bulgaria

DOI:

https://doi.org/10.29020/nybg.ejpam.v13i3.3736

Keywords:

zeros, complex polynomial, disks, cardioid interiorities.

Abstract

In this paper, we localize the zeros of the third derivatives of a complex polynomial in some sets. These sets are relevant to the first, second and third derivative of the polynomial, and they are respectively disks and cardioid interiors or generalized cardioid interiors. Here, for the first time we consider generalized cardioids, as the areas of zeros.

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Published

2020-07-31

Issue

Section

Nonlinear Analysis

How to Cite

Some Localization of the Zeros of the Third Derivatives of a Complex Polynomial the Disks or Generalized Cardioid Interioriors. (2020). European Journal of Pure and Applied Mathematics, 13(3), 663-673. https://doi.org/10.29020/nybg.ejpam.v13i3.3736

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