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 the Schur's continued fraction algorithm and several inequalities for bounded analytic functions on the unit disk.
Original language | English |
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Pages (from-to) | 483-499 |
Number of pages | 17 |
Journal | Computational Methods and Function Theory |
Volume | 12 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2012 |
Externally published | Yes |
Keywords
- Dieudonńe's Lemma
- Nevanlinna-Pick interpolation
- Peschl's invariant derivative
- Schur algorithm
- Schwarz-Pick Lemma
ASJC Scopus subject areas
- Analysis
- Computational Theory and Mathematics
- Applied Mathematics