The problem of V. N. Dubinin for symmetric multiconnected domains
Abstract
UDC 517.54
We consider a quite general problem from the geometric theory of functions on finding a maximal value of the product of the inner radii of $n$ non-overlapping domains, which contain points of the unit circle and are symmetric with respect to the unit circle, and the $\gamma$-powered inner radius of a domain containing the origin.
In this paper, we solve this problem for $n\geq 20$ and $1<\gamma\leq n^{\frac{2}{3}-q(n)}.$
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