Abstract
The hyperbolic metrich Ω of the twice punctured complex plane Ω is studied. A new recursive algorithm for computing the density λΩ ofh Ω is given. For a proper subdomainG of Ω we answer a question of G. Martin concerning quasiconformal mappings ofG that can be extended to the complement ofG as the identity map.
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Solynin, A.Y., Vuorinen, M. Estimates for the hyperbolic metric of the punctured plane and applications. Isr. J. Math. 124, 29–60 (2001). https://doi.org/10.1007/BF02772606
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DOI: https://doi.org/10.1007/BF02772606