On a multi-point Schwarz-Pick lemma

Mathematics – Complex Variables

Scientific paper

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14 pages

Scientific paper

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.

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