Generalization of certain subclasses of multivalent functions with negative coefficients defined by using a differential operator

DOI10.1016/J.MCM.2008.08.026zbMath1185.30012OpenAlexW2066900806MaRDI QIDQ970043

M. K. Aouf

Publication date: 8 May 2010

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2008.08.026

zbMATH Keywords

differential operatorfractional calculusmultivalent functionsmodified-Hadamard product

Mathematics Subject Classification ID

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

Related Items (5)

Properties of neighborhood for certain classes associated with complex order and \(m\)-\(q\)-\(p\)-valent functions with higher order ⋮ Unnamed Item ⋮ Sandwich theorems for higher-order derivatives of \(p\)-valent functions defined by certain linear operator ⋮ Unnamed Item ⋮ Majorization results for some classes of multivalent functions

Cites Work

• A note on certain classes of starlike functions
• Some families of starlike functions with negative coefficients
• Some families of multivalently analytic functions with negative coefficients
• A certain fractional derivative operator and its applications to a new class of analytic and multivalent functions with negative coefficients. II
• Fractional calculus and certain starlike functions with negative coefficients
• On the Radius of Univalence of Certain Analytic Functions
• Some Classes of Regular Univalent Functions
• Convex and Starlike Univalent Functions
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