On critical points of Blaschke products

Mathematics – Complex Variables

Scientific paper

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6 pages in LaTeX

Scientific paper

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
\cite{FG}. As an outcome, we obtain a Blaschke-type condition for critical
points of such Blaschke products.

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