We consider a quite general problem from the geometric theory of functions, namely, the problem of finding the maximal value of the product of inner radii of n nonoverlapping domains that contain points of the unit circle and are symmetric with respect to this circle and the γ power of the inner radius of a domain containing the origin. The posed problem is solved for n ≥ 20 and \( 1<\gamma \le {n}^{\frac{2}{3}-q(n)} \).
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 72, No. 11, pp. 1502–1509, November, 2020. Ukrainian DOI: 10.37863/umzh.v72i11.6064.
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Zabolotnii, Y.V. The Problem of V. N. Dubinin for Symmetric Multiconnected Domains. Ukr Math J 72, 1733–1741 (2021). https://doi.org/10.1007/s11253-021-01884-4
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DOI: https://doi.org/10.1007/s11253-021-01884-4