Intrinsic metrics in polygonal domains

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dc.contributor.authorDautova Dina
dc.contributor.authorKargar Rahim
dc.contributor.authorNasyrov Semen
dc.contributor.authorVuorinen Matti
dc.contributor.organizationfi=matematiikka|en=Mathematics|
dc.contributor.organization-code1.2.246.10.2458963.20.41687507875
dc.converis.publication-id180230189
dc.converis.urlhttps://research.utu.fi/converis/portal/Publication/180230189
dc.date.accessioned2025-08-27T21:40:53Z
dc.date.available2025-08-27T21:40:53Z
dc.description.abstract<p>We study inequalities between the hyperbolic metric and intrinsic metrics in convex polygonal domains in the complex plane. A special attention is paid to the triangular ratio metric in rectangles. A local study leads to investigation of the relationship between the conformal radius at an arbitrary point of a planar domain and the distance of the point to the boundary.<br></p>
dc.identifier.jour-issn0025-584X
dc.identifier.olddbid200873
dc.identifier.oldhandle10024/183900
dc.identifier.urihttps://www.utupub.fi/handle/11111/47248
dc.identifier.urlhttps://doi.org/10.1002/mana.202200242
dc.identifier.urnURN:NBN:fi-fe2025082785162
dc.language.isoen
dc.okm.affiliatedauthorKargar, Rahim
dc.okm.affiliatedauthorVuorinen, Matti
dc.okm.discipline111 Mathematicsen_GB
dc.okm.discipline111 Matematiikkafi_FI
dc.okm.internationalcopublicationinternational co-publication
dc.okm.internationalityInternational publication
dc.okm.typeA1 ScientificArticle
dc.publisherWILEY-V C H VERLAG GMBH
dc.publisher.countryGermanyen_GB
dc.publisher.countrySaksafi_FI
dc.publisher.country-codeDE
dc.relation.doi10.1002/mana.202200242
dc.relation.ispartofjournalMathematical News / Mathematische Nachrichten
dc.source.identifierhttps://www.utupub.fi/handle/10024/183900
dc.titleIntrinsic metrics in polygonal domains
dc.year.issued2023

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