3 citations · 4 across the 5 of their papers we have counts for
5 papers
Curves formed by Vanishing Discriminant and Roots of Complex-valued Harmonic Polynomials (Computer-Aided Case Study)
Oluma Ararso Alemu, Hunduma Legesse Geleta
In this paper, we determine and specify the type of curves formed by the vanishing discriminant of some specified family of complex-valued harmonic polynomials with two parameters.…
Valency of Certain Complex-valued Functions
Oluma Ararso Alemu
The valence of a function f at a point is the number of distinct, finite solutions to In this paper, we bound the valence of complex-valued harmonic polynomials…
The Image of Critical Circle and Zero-free Curve for Quadrinomials
Oluma Ararso Alemu, Hunduma Legesse Geleta
The location of the zeros of a two-parameter family of complex-valued harmonic quadrinomials depends on the parameters. In this paper, we determine and demonstrate that the image o…
Zeros of a Two-parameter Family of Harmonic Quadrinomials
Oluma Ararso Alemu, Hunduma Legesse Geleta
In this paper, we determine the numb er of zeros and the zero inclusion regions of a two-parameter family of harmonic quadrinomials. We also determine a curve that separates sense-…
Location of the Zeros of Certain Complex-Valued Harmonic Polynomials
Hunduma L. Geleta, Oluma A. Alemu
Finding an approximate region containing all the zeros of analytic polynomials is a well-studied problem. But the numb er of the zeros and regions containing all the zeros of compl…