A. Smorodin

activity

20182020

most citedOn the Koebe Quarter Theorem for Polynomials

1 citations · 1 across the 2 of their papers we have counts for

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math.CV2019★ 1 cited

On the Koebe Quarter Theorem for Polynomials

Jimmy Dillies, Dmitriy Dmitrishin, Andrey Smorodin +1

D. Dimitrov has posed the problem of finding polynomials that set the sharpness of the Koebe Quarter Theorem for polynomials and asked whether Suffridge polynomials are optimal. We…

math.CV2018

Dimitrov's question for the polynomials of degree 1,2,3,4,5,6

Dmitriy Dmitrishin, Ivan Skrinnik, Andrey Smorodin +1

In 2002 Dimitar Dimitrov posted the problem of finding the optimal polynomials that provide the sharpness of Koebe Quarter Theorem for polynomials and asked whether Suffridge polyn…

math.CV2018

Estimating the Koebe radius for polynomials

Dmitriy Dmitrishin, Andrey Smorodin, Alex Stokolos

For a pair of conjugate trigonometrical polynomials $C (t) = \sum_{j = 1}^{N} a_{j} cos j t, S (t) = \sum_{j = 1}^{N} a_{j} sin j t$ with real coefficients and normaliza…