A note on Julia-Carathéodory theorem for functions with fixed initial coefficients

DOI10.3792/pjaa.89.133zbMath1291.30086OpenAlexW2057909638WikidataQ59108542 ScholiaQ59108542MaRDI QIDQ2448588

Barbara Uzar, Adam Lecko

Publication date: 2 May 2014

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1385995674

zbMATH Keywords

Julia-Carathéodory theoremSchwarz functionsJulia functions

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45)

Related Items (4)

Bounded holomorphic functions covering no concentric circles ⋮ Unnamed Item ⋮ Jack and Julia ⋮ On Jack's lemma

Cites Work

• Über die Randverzerrung bei konformer Abbildung
• Julius and Julia: Mastering the Art of the Schwarz Lemma
• Boundary subordination
• A sharp Schwarz inequality on the boundary
• Growth Estimates of Convex Functions
• On the class of functions starlike with respect to a boundary point
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