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A hyperbolic-distance inequality for holomorphic maps

Short, Ian and Christodoulou, Argyrios (2019). A hyperbolic-distance inequality for holomorphic maps. Annales Academiæ Scientiarum Fennicæ, Mathematica, 44 pp. 293–300.

DOI (Digital Object Identifier) Link: https://doi.org/10.5186/aasfm.2019.4425
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Abstract

We prove an inequality which quantifies the idea that a holomorphic self-map of the disc that perturbs two points is close to the identity function.

Item Type: Journal Item
Copyright Holders: 2019 Academia Scientiarum Fennica
ISSN: 1798-2383
Keywords: hyperbolic metric; holomorphic map; hyperbolic Riemann surface
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 57795
Depositing User: Ian Short
Date Deposited: 23 Nov 2018 15:56
Last Modified: 07 May 2019 01:58
URI: http://oro.open.ac.uk/id/eprint/57795
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