Coefficient, distortion and growth inequalities for certain close-to-convex functions

DOI10.1186/1029-242X-2011-100zbMath1269.30013arXiv1108.5419OpenAlexW2159405329WikidataQ59268160 ScholiaQ59268160MaRDI QIDQ357650

Nak Eun Cho, Oh Sang Kwon, Vravi Ravichandran

Publication date: 13 August 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.5419

zbMATH Keywords

distortion theoremsclose-to-convex functionsstarlike functionsgrowth theoremsFekete-Szegő inequalitiessubordination theorem

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)

Related Items (6)

Bohr phenomenon for certain close-to-convex analytic functions ⋮ Sufficient conditions for strong starlikeness ⋮ On a subclass of close-to-convex functions ⋮ Certain subclasses of close-to-convex functions ⋮ Unnamed Item ⋮ On a subclass of multivalent close to convex functions

Cites Work

• A certain subclass of analytic and close-to-convex functions
• On a certain univalent mapping
• On a subclass of close-to-convex functions

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