Subordination and inclusion theorems for higher order derivatives of a generalized fractional differintegral operator

DOI10.1186/s42787-019-0020-2zbMath1429.30023OpenAlexW2955533727MaRDI QIDQ2338155

Hanaa M. Zayed

Publication date: 21 November 2019

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s42787-019-0020-2

zbMATH Keywords

differential subordinationmultivalent 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

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• Some characterizations of integral operators associated with certain classes of \(p\)-valent functions defined by the Srivastava-Saigo-Owa 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
• Multivalent functions associated with Srivastava-Saigo-Owa fractional differintegral operator
• Some inclusion properties of a certain family of integral operators.
• Subordination properties for multivalent functions associated with a generalized fractional differintegral operator
• Sandwich results of \(p\)-valent functions defined by a generalized fractional derivative operator with application to vortex motion
• On certain subclasses of multivalent functions defined by a generalized fractional differintegral operator
• Sandwich results for higher order fractional derivative operators
• Some remarks on convex maps of the unit disk
• Subordination by Convex Functions
• Subordination and superordination properties ofp-valent functions defined by a generalized fractional differintegral operator
• The radius of univalence of certain analytic functions

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