Invariance of some subclass of multivalent functions under a differintegral operator

DOI10.1080/17476930903568712zbMath1195.30028OpenAlexW2146629653MaRDI QIDQ3577869

Priyabrat Gochhayat, Akshaya Kumar Mishra

Publication date: 26 July 2010

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930903568712

zbMATH Keywords

integral operatorhypergeometric functiondifferential subordinationmultivalent function

Mathematics Subject Classification ID

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

Related Items (4)

Convolution properties of \(p\)-valent functions associated with a generalization of the Srivastava-Attiya operator ⋮ Some subclasses of \(p\)-valent \(\gamma\)-uniformly type \(q\)-starlike and \(q\)-convex functions defined by using a certain generalized \(q\)-Bernardi integral operator ⋮ Applications of third order differential subordination and superordination involving generalized struve function ⋮ A generalization of the Srivastava–Attiya transform and associated classes

Cites Work

• Differential subordinations and univalent functions
• Convex hulls and extreme points of some classes of multivalent functions
• The Hardy space of analytic functions associated with certain one-parameter families of integral operators
• Univalent solutions of Briot-Bouquet differential equations
• Inclusion properties of certain subclasses of analytic functions defined by a multiplier transformation
• Subordination properties of \(p\)-valent functions defined by integral operators
• The dual of an inequality of Hardy and Littlewood and some related inequalities
• A Remark on Convex and Starlike Functions

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