Strong differential subordinations obtained with new integral operator defined by polylogarithm function

DOI10.1155/2014/260198zbMath1290.30008OpenAlexW2040527148WikidataQ59044194 ScholiaQ59044194MaRDI QIDQ2448841

Khalifa Al-Shaqsi

Publication date: 5 May 2014

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/260198

zbMATH Keywords

subordinationsandwich-type resultsunivalent functions in the unit disk

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45)

Related Items

Unnamed Item ⋮ Unnamed Item ⋮ STRONG DIFFERENTIAL SUBORDINATION AND SUPERORDINATION OF NEW GENERALIZED DERIVATIVE OPERATOR

Cites Work

• On some classes of first-order differential subordinations
• Differential subordinations and univalent functions
• The Hardy space of analytic functions associated with certain one-parameter families of integral operators
• Strong differential subordination to Briot-Bouquet differential equations
• Inclusion theorems for convolution product of second order polylogarithms and functions with the derivative in a halfplane
• Polylogarithms in the theory of univalent functions
• Strong differential subordination properties for analytic functions involving the Komatu integral operator
• The dual of an inequality of Hardy and Littlewood and some related inequalities
• Subordinants of differential superordinations
• STRONG DIFFERENTIAL SUBORDINATION AND APPLICATIONS TO UNIVALENCY CONDITIONS
• The Solution of Algebraic and Transcendental Equations by Iteration
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