On a multi-point Schwarz-Pick lemma
Complex Variables
2011-02-03 v1
Abstract
We consider the multi-point Schwarz-Pick lemma and its associate functions due to Beardon-Minda and Baribeau-Rivard-Wegert. Basic properties of the associate functions are summarized. Then we observe that special cases of the multi-point Schwarz-Pick lemma give Schur's continued fraction algorithm and several inequalities for bounded analytic functions on the unit disk.
Keywords
Cite
@article{arxiv.1102.0337,
title = {On a multi-point Schwarz-Pick lemma},
author = {Kyung Hyun Cho and Seong-A Kim and Toshiyuki Sugawa},
journal= {arXiv preprint arXiv:1102.0337},
year = {2011}
}
Comments
14 pages