Some applications of higher-order hyperbolic derivatives

DOI10.1007/S11785-011-0172-ZzbMath1275.30013OpenAlexW2027200786MaRDI QIDQ371849

Patrice Rivard

Publication date: 10 October 2013

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-011-0172-z

zbMATH Keywords

interpolation problemconstrained Nevanlinna-Pick problemhigher-order hyperbolic derivatives

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45)

Related Items (6)

On a multi-point Schwarz-Pick lemma ⋮ Rigidity of holomorphic mappings from local and global viewpoints ⋮ Variability regions for the third derivative of bounded analytic functions ⋮ Variability regions for the second derivative of bounded analytic functions ⋮ Multipoint Julia theorems ⋮ ESTIMATES OF THE SECOND DERIVATIVE OF BOUNDED ANALYTIC FUNCTIONS

Cites Work

• Unnamed Item
• Dieudonné points of holomorphic self-maps of regions
• On hyperbolic divided differences and the Nevanlinna-Pick problem
• Sharpened versions of the Schwarz lemma
• Some refined Schwarz-Pick lemmas
• A multi-point Schwarz-Pick lemma
• Invariant differential operators associated with a conformal metric
• A Schwarz–Pick Theorem for higher-order hyperbolic derivatives
• On Generalized Schwarz‐Pick Estimates
• SCHUR–NEVANLINNA SEQUENCES OF RATIONAL FUNCTIONS

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