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math.CV2022
An extremal problem for odd univalent polynomials
Dmitriy Dmitrishin, Daniel Gray, Alexander Stokolos +1
For the univalent polynomials with real coefficients and normalization \(a_1 = 1\) we solve the extremal problem \[ \min_{a_j:\,a_1=1} \…
math.CV2022
Koebe's theorem for trinomials with fold symmetry
Dmitriy Dmitrishin, Daniel Gray, Alexander Stokolos
The Koebe problem for univalent polynomials with real coefficients is fully solved only for trinomials, which means that in this case the Koebe radius and the extremal polynomial (…
math.CV2022
Extremal problems for trinomials with fold symmetry
Dmitriy Dmitrishin, Alex Stokolos, Daniel Gray
The famous T. Suffridge polynomials have many extremal properties: the maximality of coefficients when the leading coefficient is maximal; the zeros of the derivative are located o…