Geodesic
Critical values of finite Blaschke products
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 499 (2021), pp. 5-7

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For finite Blaschke products $B$ of degree $n\ge2$, $B(0)=0$, $B'(0)\ne0$ a sharp upper bound for the least critical values and a sharp lower bound for the greatest critical values of these products are established. These estimates depend only on $n$ and $|B'(0)|$.
Keywords: rational functions, Blaschke products, critical values, Riemann surfaces, symmetrization, dissymmetrization. 
V. N. Dubinin. Critical values of finite Blaschke products. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 499 (2021), pp. 5-7. http://geodesic.mathdoc.fr/item/DANMA_2021_499_a0/
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