Inclusion results for certain subclasses of spiral-like multivalent functions involving a generalized fractional differintegral operator

DOI10.1080/10652469.2013.766186zbMath1283.30042OpenAlexW2003748812MaRDI QIDQ2867914

M. K. Aouf, Huo Tang, Shu-Hai Li, Guan Tie Deng

Publication date: 20 December 2013

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2013.766186

zbMATH Keywords

subordinationspiral-like functionsmultivalent functionsfractional differintegral operatorHadmard product

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 (9)

On certain subclasses of multivalent functions defined by a generalized fractional differintegral operator ⋮ Inclusion relations for subclasses of multivalent functions defined by Srivastava-Saigo-Owa fractional differintegral operator ⋮ Subordinating results for \(p\)-valent functions associated with the Srivastava-Saigo-Owa fractional differintegral operator ⋮ Some characterizations of integral operators associated with certain classes of \(p\)-valent functions defined by the Srivastava-Saigo-Owa fractional differintegral operator ⋮ Subclasses of \(p\)-valent functions of bounded boundary rotation involving a generalized fractional differintegral operator ⋮ Multivalent functions associated with Srivastava-Saigo-Owa fractional differintegral operator ⋮ Subordination properties for multivalent functions associated with a generalized fractional differintegral operator ⋮ Applications of differential subordinations involving a generalized fractional differintegral operator ⋮ Subordination and superordination properties ofp-valent functions defined by a generalized fractional differintegral operator

Cites Work

• Majorization problem for certain class of \(p\)-valently analytic function defined by generalized fractional differintegral operator
• Inclusion properties of a subclass of analytic functions defined by an integral operator involving the Gauss hypergeometric function
• Some applications of the generalized Libera integral operator
• A class of distortion theorems involving certain operators of fractional calculus
• On integral operators
• Differential subordinations and univalent functions
• Some inclusion properties of a certain family of integral operators.
• Inclusion properties of certain subclasses of analytic functions defined by a multiplier transformation
• Some characterization and distortion theorems involving fractional calculus, generalized hypergeometric functions, Hadamard products, linear operators, and certain subclasses of analytic functions
• Univalent and Starlike Generalized Hypergeometric Functions
• Some inclusion properties for certain subclasses of strongly starlike and strongly convex functions involving a family of fractional integral operators
• The Noor integral and strongly starlike functions

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