Estimates for the hyperbolic metric of the punctured plane and applications

: Solynin A., Vuorinen M.

: 2001

: Israel Journal of Mathematics

: 124

: null

: 29

: 60

: 32

: 0021-2172

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

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.