Subclasses of starlike functions associated with fractional \(q\)-calculus operators

DOI10.1155/2013/572718zbMath1268.30024OpenAlexW2082883773WikidataQ59006622 ScholiaQ59006622MaRDI QIDQ355880

C. Selvaraj, O. S. Babu, Gangadharan Murugusundaramoorthy

Publication date: 25 July 2013

Published in: Journal of Complex Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/572718

Mathematics Subject Classification ID

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

Related Items (8)

Applications of fractional \(q\)-calculus to certain subclass of analytic \(p\)-valent functions with negative coefficients ⋮ Dynamical aspects of initial/boundary value problems for ordinary differential equations 2014 ⋮ Advances on integrodifferential equations and transforms ⋮ Certain properties of some families of generalized starlike functions with respect to \(q\)-calculus ⋮ Majorization for a class of analytic functions defined by \(q\)-differentiation ⋮ Certain classes of analytic functions bound with Kober operators in \(q\)-calculus ⋮ Certain class of analytic functions connected with \(q\)-analogue of the Bessel function ⋮ SUBORDINATION CONDITIONS FOR A CLASS OF NON-BAZILEVIČ TYPE DEFINED BY USING FRACTIONAL Q-CALCULUS OPERATORS

Cites Work

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• On uniformly starlike functions
• A survey with open problems on univalent functions whose coefficients are negative
• Partial sums of starlike and convex functions
• Certain subclasses of analytic functions associated with fractional $q$-calculus operators
• Subordinating Factor Sequences for Convex Maps of the Unit Circle
• Fractional integral and other linear operators associated with the gaussian hypergeometric function
• Neighborhoods of Univalent Functions
• Univalent Functions with Negative Coefficients
• Uniformly Convex Functions and a Corresponding Class of Starlike Functions
• Univalent Functions and Nonanalytic Curves

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