Strong differential subordinations and superordinations obtained with some new integral operators

DOI10.1186/1687-1847-2013-317zbMath1391.30034OpenAlexW2109524481WikidataQ59295078 ScholiaQ59295078MaRDI QIDQ1653169

Georgia Irina Oros

Publication date: 17 July 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-317

zbMATH Keywords

analytic functionconvex functionunivalent functionbest dominantbest subordinantstrong differential subordination and superordination

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) Conformal mappings of special domains (30C20) Differential inequalities involving functions of a single real variable (34A40)

Cites Work

• On special strong differential subordinations using multiplier transformation
• Briot--Bouquet differential superordinations and sandwich theorems
• Second order non-linear strong differential subordinations
• Differential subordinations and univalent functions
• Second order differential inequalities in the complex plane
• Strong differential subordination to Briot-Bouquet differential equations
• Strong differential subordination properties for analytic functions involving the Komatu integral operator
• Subordinants of differential superordinations
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