KFU. Card publication. On extrema of the Mityuk radius for doubly connected domains

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ON EXTREMA OF THE MITYUK RADIUS FOR DOUBLY CONNECTED DOMAINS

Form of presentation

Articles in international journals and collections

Year of publication

2022

Язык

английский

Authors, employees of KFU

Kazancev Andrey Vitalevich, author

Kinder Mikhail Ivanovich, author

Bibliographic description in the original language

Kazantsev A.V., Kinder M.I. On extrema of the Mityuk radius for doubly connected domains // Lobachevskii Journal of Mathematics. - 2022. - vol. 43, No. 10. - p. 236-241. (DOI: 10.1134/S1995080222130182)

Annotation

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.

Keywords

Mityuk?s radius, critical point, extremum, conformal map, canonical domain, doubly connected domain, circular ring

The name of the journal

Lobachevskii Journal of Mathematics

On-line resource for training course

http://dspace.kpfu.ru/xmlui/bitstream/handle/net/173397/Kazantsev.pdf?sequence=1&isAllowed=y

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=272986&p_lang=2

Resource files

File name	Size (MB)	Format
Kazantsev.pdf	0,45	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Kazancev Andrey Vitalevich	ru_RU
dc.contributor.author	Kinder Mikhail Ivanovich	ru_RU
dc.date.accessioned	2022-01-01T00:00:00Z	ru_RU
dc.date.available	2022-01-01T00:00:00Z	ru_RU
dc.date.issued	2022	ru_RU
dc.identifier.citation	Kazantsev A.V., Kinder M.I. On extrema of the Mityuk radius for doubly connected domains // Lobachevskii Journal of Mathematics. - 2022. - vol. 43, No. 10. - p. 236-241. (DOI: 10.1134/S1995080222130182)	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=272986&p_lang=2	ru_RU
dc.description.abstract	Lobachevskii Journal of Mathematics	ru_RU
dc.description.abstract	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.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Mityuk?s radius	ru_RU
dc.subject	critical point	ru_RU
dc.subject	extremum	ru_RU
dc.subject	conformal map	ru_RU
dc.subject	canonical domain	ru_RU
dc.subject	doubly connected domain	ru_RU
dc.subject	circular ring	ru_RU
dc.title	On extrema of the Mityuk radius for doubly connected domains	ru_RU
dc.type	Articles in international journals and collections	ru_RU