J. Navarrete

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20222026

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math.CV2026

On the Parameter Spaces of Harmonic Trinomial Equations

Waldemar Barrera, Lucia Campa, Juan Pablo Navarrete

We analyze the parameter space of harmonic trinomial equations of the form $z^{n + m} + b z^{m} + c$ , where $n, m \in Z^{+}$ are coprime and $b, c \in C$ . Using version…

math.CV2023

The stability region for Schur stable trinomials with general complex coefficients

Gerardo Barrera, Waldemar Barrera, Juan Pablo Navarrete

In this paper, we characterize the stability region for trinomials of the form $f (ζ) := a ζ^{n} + b ζ^{m} + c$ , $ζ \in C$ , where $a$ , $b$ and $c$ are non-zero complex numbers and $n…