A1 Refereed original research article in a scientific journal

Ptolemy constant and uniformity



Authors: Harmaala Eero, Klen Riku

Publisher: KOSSUTH LAJOS TUDOMANYEGYETEM

Publication year: 2021

Journal: Publicationes Mathematicae Debrecen

Journal name in source: PUBLICATIONES MATHEMATICAE-DEBRECEN

Journal acronym: PUBL MATH-DEBRECEN

Volume: 98

Issue: 1-2

First page : 15

Last page: 42

Number of pages: 28

ISSN: 0033-3883

eISSN: 2064 - 2849

DOI: https://doi.org/10.5486/PMD.2021.8746

Self-archived copy’s web address: https://arxiv.org/abs/1604.05367


Abstract
We study the Ptolemy constant and the uniformity constant in various plane domains including triangles, quadrilaterals and ellipses. To obtain our results, we use Mobius transformations and the quasihyperbolic metric.



Last updated on 2024-26-11 at 15:20