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

Journal:Israel 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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