On a multi-point Schwarz-Pick Lemma

Hyun Kyung Cho, Seong A. Kim, Toshiyuki Sugawa

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


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 languageEnglish
Pages (from-to)483-499
Number of pages17
JournalComputational Methods and Function Theory
Issue number2
Publication statusPublished - 2012


  • Dieudonńe's Lemma
  • Nevanlinna-Pick interpolation
  • Peschl's invariant derivative
  • Schur algorithm
  • Schwarz-Pick Lemma


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