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On critical points of Blaschke products

2010/09/09 by Favorov, S., Golinskii, L.
#30D50 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1009.1755

Abstract

We obtain an upper bound for the derivative of a Blaschke product, whose zeros lie in a certain Stolz-type region. We show that the derivative belongs to the space of analytic functions in the unit disk, introduced recently in \citeFG. As an outcome, we obtain a Blaschke-type condition for critical points of such Blaschke products.

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