THE SCHWARZ-PICK LEMMA FOR DERIVATIVES

Authors
BEARDON AF
Citation
Af. Beardon, THE SCHWARZ-PICK LEMMA FOR DERIVATIVES, Proceedings of the American Mathematical Society, 125(11), 1997, pp. 3255-3256
Citations number
3
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
125
Issue
11
Year of publication
1997
Pages
3255 - 3256
Database
ISI
SICI code
0002-9939(1997)125:11<3255:TSLFD>2.0.ZU;2-S
Abstract
The Schwarz-Pick Lemma states that any analytic function of the unit d isc into itself is a contraction with respect to the hyperbolic metric . In this note a related result is proved for the derivative of an ana lytic function.