On the improvement of Mocanu's conditions

DOI10.1186/1029-242X-2013-426zbMath1292.30006OpenAlexW2111935934WikidataQ59303062 ScholiaQ59303062MaRDI QIDQ2017030

Mamoru Nunokawa, Emel Yavuz Duman, Ne Cho, Owa, Shigeyoshi, Janusz Sokół

Publication date: 25 June 2014

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2013-426

zbMATH Keywords

subordinationstrongly convex functionsstrongly starlike 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

• Some properties of analytic functions relating to the Miller and Mocanu result
• Subordination properties of certain classes of multivalently analytic functions
• On the order of strongly starlikeness of strongly convex functions
• On functions with the derivative satisfying a geometric condition
• On sufficient condition to be in a certain subclass of starlike functions defined by subordination
• Coefficient Estimates in a Class of Strongly Starlike Functions
• On Some Classes of Bounded Univalent Functions
• On a subclass of strongly starlike functions
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