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math.CV2023
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.…
math.CV2023
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…