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Solution of Two Conjectures of Klén, Lindén, Vuorinen and Wang

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Abstract

This note contains a solution to two conjectures of Klén, Lindén, Vuorinen and Wang in a recent paper: the visual angular metric \(v_G\) can be estimated from above by \(c\, j_G\) when G is a ball or a half-space, where the constant \(c\approx 1.432404247\).

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References

  1. Klén, R., Lindén, H., Vuorinen, M., Wang, G.: The visual angle metric and Möbius transformations. Comput. Methods Funct. Theory 14(2–3), 577–608 (2014)

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  2. Hariri, P., Vuorinen, M., Wang, G.: Some remarks on the visual angle metric. Comput. Methods Funct. Theory (accepted and published online on 19 August 2015)

  3. Vuorinen, M., Wang, G.: The visual angle metric and quasiregular maps (2015). arXiv:1505.00607 (preprint)

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Turku, 20014, Turku, Finland

    Peter Hästö & Riku Klén

  2. Department of Mathematical Sciences, University of Oulu, 90014, Oulu, Finland

    Peter Hästö

Authors
  1. Peter Hästö
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  2. Riku Klén
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Corresponding author

Correspondence to Peter Hästö.

Additional information

Communicated by Matti Vuorinen.

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Hästö, P., Klén, R. Solution of Two Conjectures of Klén, Lindén, Vuorinen and Wang. Comput. Methods Funct. Theory 16, 283–286 (2016). https://doi.org/10.1007/s40315-015-0142-y

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  • DOI: https://doi.org/10.1007/s40315-015-0142-y

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