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On a Multi-Point Schwarz-Pick Lemma

Authors :
Seong-A Kim
Kyung Hyun Cho
Toshiyuki Sugawa
Source :
Computational Methods and Function Theory. 12:483-499
Publication Year :
2012
Publisher :
Springer Science and Business Media LLC, 2012.

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.<br />Comment: 14 pages

Details

ISSN :
21953724 and 16179447
Volume :
12
Database :
OpenAIRE
Journal :
Computational Methods and Function Theory
Accession number :
edsair.doi.dedup.....f1a83f275e5a6aca766299601ded93d6