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https://research.matf.bg.ac.rs/handle/123456789/2948| Title: | From the hyperbolic distance to the hyperbolic length | Authors: | Knežević, Miljan Svetlik, Marek |
Affiliations: | Real and Complex Analysis | Keywords: | the hyperbolic distance;The hyperbolic length;the Schwarz-Pick lemma | Issue Date: | 1-Jan-2024 | Rank: | M21 | Publisher: | Niš : Prirodno-matematički fakultet | Journal: | Filomat | Abstract: | In this paper we show one way to define the hyperbolic length of a curve in the unit disc. We start from the formula for hyperbolic distance in the unit disc and via the hyperbolic lengths of the inscribed hyperbolic polygonal lines we arrive at the formula for calculating the hyperbolic length of the C1 curve in a natural way. |
URI: | https://research.matf.bg.ac.rs/handle/123456789/2948 | ISSN: | 03545180 | DOI: | 10.2298/FIL2411851K |
| Appears in Collections: | Research outputs |
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