A1 Refereed original research article in a scientific journal

Triangular Ratio Metric Under Quasiconformal Mappings in Sector Domains



Authors: Rainio Oona, Vuorinen Matti

Publisher: SPRINGER HEIDELBERG

Publication year: 2023

Journal: Computational Methods and Function Theory

Journal name in source: COMPUTATIONAL METHODS AND FUNCTION THEORY

Journal acronym: COMPUT METH FUNCT TH

Number of pages: 25

ISSN: 1617-9447

eISSN: 2195-3724

DOI: https://doi.org/10.1007/s40315-022-00447-3(external)

Web address : https://link.springer.com/article/10.1007/s40315-022-00447-3(external)

Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/175155429(external)


Abstract
The hyperbolic metric and different hyperbolic type metrics are studied in open sector domains of the complex plane. Several sharp inequalities are proven for them. Our main result describes the behavior of the triangular ratio metric under quasiconformal maps from one sector onto another one.

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Last updated on 2024-26-11 at 13:26