Computational Methods and Function Theory 5 (2005), No. 2, 323--345
Copyright Heldermann Verlag 2005
David A. Herron
david.herron@math.uc.edu , Department of Mathematics, University of Cincinnati, OH 45221, U.S.A.
William Ma
wma@pct.edu , School of Integrated Studies, Penn.\ College of Technology, Williamsport, PA 17701, U.S.A.
David Minda
david.minda@math.uc.edu , Department of Mathematics, University of Cincinnati, OH 45221, U.S.A.
We present uniform and pointwise estimates for various ratios of the hyperbolic, quasihyperbolic and Möbius metrics. We determine when these ratios are constant. We exhibit numerous illustrative examples.
Keywords: Möbius metric, Poincaré hyperbolic metric, quasihyperbolic.
MSC 2000: Primary 30F45; Secondary 30C55, 30F30.
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