Classes of multivalent functions associated with a convolution operator

DOI10.1016/j.camwa.2010.06.015zbMath1201.30018OpenAlexW2070794860MaRDI QIDQ611465

Janusz Sokół

Publication date: 14 December 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.06.015

zbMATH Keywords

beta functiongamma functionsubordinationconvex functionanalytic functionsconvolution operatorlinear operatorGaussian hypergeometric functionstarlike functionHadamard product (or convolution)

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (5)

On some inequalities of a certain class of analytic functions ⋮ A class of analytic functions involving in the Dziok-Srivastava operator ⋮ Properties of certain subclass of multivalent functions with negative coefficients ⋮ Unnamed Item ⋮ On coefficient inequalities of functions associated with conic domains

Cites Work

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• Subordinating Factor Sequences for Convex Maps of the Unit Circle
• Starlike and Prestarlike Hypergeometric Functions
• Convolution Properties of a Class of Starlike Functions
• Subordination by Convex Functions
• Certain Subclasses of Analytic Functions Associated with the Generalized Hypergeometric Function
• Some extremal problems for certain families of analytic functions I
• Extremal problems for a family of functions with positive real part and for some related families
• Functions Starlike and Convex of Order α

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