Journal of Inequalities and Applications 
Volume 2006 (2006), Article ID 96368, 6 pages
doi:10.1155/JIA/2006/96368

Schwarz-Pick-type estimates for the hyperbolic derivative

Peter R. Mercer

 Department of Mathematics, Buffalo State College, 14222, NY, USA
Received 12 February 2005; Revised 3 November 2005; Accepted 8 November 2005

Abstract

We obtain Schwarz-Pick-type estimates for the hyperbolic derivative of an analytic self-map of the unit disk in ℂ.