Note on the uniqueness holomorphic function on the unit disk

DOI10.2298/FIL1806321AzbMath1499.30221OpenAlexW2935203889WikidataQ128107133 ScholiaQ128107133MaRDI QIDQ5023946

Tuğba Akyel, Tahir Aliyev Azeroğlu

Publication date: 28 January 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1806321a

zbMATH Keywords

Harnack inequalityholomorphic functionPhragmen-Lindelöf principle

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Holomorphic functions of several complex variables (32A10)

Cites Work

• A generalized Schwarz lemma at the boundary
• Julius and Julia: Mastering the Art of the Schwarz Lemma
• Boundary values of the Schwarzian derivative of a regular function
• Rigidity of Holomorphic Mappings and a New Schwarz Lemma at the Boundary
• A refined Schwarz inequality on the boundary
• Representation with majorant of the Schwarz lemma at the boundary
• Uniqueness part of the Schwarz lemma at the boundary
• The lower bound for the modulus of the derivatives and Jacobian of harmonic injective mappings
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