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

Todor Stoyanov Stoyanov

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.

Keywords

zeros, complex polynomial, disks, cardioid interiorities.

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