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. 
@article{DANMA_2021_499_a0,
     author = {V. N. Dubinin},
     title = {Critical values of finite {Blaschke} products},
     journal = {Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleni\^a},
     pages = {5--7},
     publisher = {mathdoc},
     volume = {499},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DANMA_2021_499_a0/}
}
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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/