On differential subordinations related to convex functions

DOI10.1006/jmaa.1999.6381zbMath0929.30019OpenAlexW2007129626WikidataQ59108710 ScholiaQ59108710MaRDI QIDQ1300023

Adam Lecko, Yong Chang Kim

Publication date: 25 October 1999

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

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6381

zbMATH Keywords

convex functiondifferential subordination

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) Extremal problems for conformal and quasiconformal mappings, other methods (30C75)

Related Items (8)

On a class of analytic functions with missing coefficients ⋮ Mapping properties of differential inequalities related to univalent functions ⋮ Differential subordination of harmonic mean ⋮ Schwarzian derivative and convexity of order \(\alpha\) ⋮ Differential subordination of a harmonic mean to a linear function ⋮ Differential subordinations and harmonic means ⋮ Differential subordination and harmonic means for the Koebe type $n$-fold symmetric functions ⋮ Boundedness of analytic functions in the unit disc using the theory of differential subordination

Cites Work

• On some classes of first-order differential subordinations
• Differential subordinations and univalent functions
• Convexity Preservation of Inverse Euler Operators and a Problem of S. Miller
• Differential subordinations and geometric means
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