Subordination and superordination properties of multivalent functions defined by certain integral operator

DOI10.1016/j.jfranklin.2010.01.001zbMath1298.30010OpenAlexW1970043293MaRDI QIDQ468247

M. K. Aouf, Teodor Bulboacă

Publication date: 6 November 2014

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2010.01.001

zbMATH Keywords

analytic functionintegral operatorconvex functiondifferential subordination and superordination

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Differential inequalities involving functions of a single real variable (34A40)

Related Items (15)

Majorization problems for two subclasses of analytic functions connected with the Liu-Owa integral operator and exponential function ⋮ Unnamed Item ⋮ Sandwich results for subclasses of multivalent meromorphic functions associated with iterations of the Cho-Kwon-Srivastava transform ⋮ Simple criteria for univalence and coefficient bounds for a certain subclass of analytic functions ⋮ On sandwich theorems for multivalent functions involving a generalized differential operator ⋮ On the starlikeness of certain class of analytic functions ⋮ Unnamed Item ⋮ Certain subclasses of \(p\)-valently analytic functions involving a generalized fractional differintegral operator ⋮ Third-order differential sandwich-type results involving the Liu-Owa integral operator ⋮ On some relationships of certain \(K\)-uniformly analytic functions associated with Mittag-Leffler function ⋮ Differential sandwich-type results for symmetric functions associated with Pascal distribution series ⋮ Sandwich results of \(p\)-valent functions defined by a generalized fractional derivative operator with application to vortex motion ⋮ Criteria for a certain class of the Carathéodory functions and their applications ⋮ Subordination and superordination properties ofp-valent functions defined by a generalized fractional differintegral operator ⋮ Subordination and superordination results for analytic functions with respect to symmetrical points

Cites Work

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• On certain properties for some classes of starlike functions
• The Hardy space of analytic functions associated with certain one-parameter families of integral operators
• On some criteria for univalence and starlikeness
• A class of superordination-preserving integral operators
• Subordination properties of \(p\)-valent functions defined by integral operators
• On sandwich theorems for some classes of analytic functions
• On some results for λ-Spirallike and λ-Robertson functions of complex order
• Subordinants of differential superordinations
• On the univalence of a certain integral

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