On some properties of the Carath\'{e}odory functions

DOI10.7153/mia-2021-24-05zbMath1468.30027OpenAlexW3134363438MaRDI QIDQ4991556

Nak Eun Cho, Oh Sang Kwon, Janusz Sokół, Mamoru Nunokawa

Publication date: 3 June 2021

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2021-24-05

zbMATH Keywords

subordinationconvex functionsstar-like functions

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80)

Cites Work

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• On some sufficient conditions for univalence and starlikeness
• On the order of strongly starlikeness of strongly convex functions
• Some Remarks on Close-to-Convex and Strongly Convex Functions
• On the Higher Derivatives at the Boundary in Conformal Mapping

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