On Extrema of the Mityuk Radius for Doubly Connected Domains

We study extrema of the Mityuk radius depending on the choice of the canonical domain. Turning to the doubly connected case allows us to use the explicit form of mapping functions onto canonical domains. We obtain the results on the localization of critical points of the Mityuk radius for two types...

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Veröffentlicht in:Lobachevskii journal of mathematics 2022-10, Vol.43 (10), p.2948-2953
Hauptverfasser: Kazantsev, A. V., Kinder, M. I.
Format: Artikel
Sprache:eng
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Zusammenfassung:We study extrema of the Mityuk radius depending on the choice of the canonical domain. Turning to the doubly connected case allows us to use the explicit form of mapping functions onto canonical domains. We obtain the results on the localization of critical points of the Mityuk radius for two types of such domains.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080222130182