A1 Refereed original research article in a scientific journal

Estimates for the hyperbolic metric of the punctured plane and applications




AuthorsSolynin A., Vuorinen M.

Publication year2001

JournalIsrael Journal of Mathematics

Journal name in sourceIsrael Journal of Mathematics

Volume124

Issuenull

First page 29

Last page60

Number of pages32

ISSN0021-2172

Web address http://api.elsevier.com/content/abstract/scopus_id:0035649468


Abstract
The hyperbolic metric h of the twice punctured complex plane Ω is studied. A new recursive algorithm for computing the density λ of h is given. For a proper subdomain G of Ω we answer a question of G. Martin concerning quasiconformal mappings of G that can be extended to the complement of G as the identity map.



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