Fekete-Szegő problem for strongly starlike functions associated with generalized hypergeometric functions

DOI10.1016/j.mcm.2009.04.014zbMath1185.30014OpenAlexW2077724509MaRDI QIDQ969899

Halit Orhan, Dorina Răducanu

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.2009.04.014

zbMATH Keywords

analytic functionsFekete-Szegő inequalityDziok-Srivastava operatorstrongly starlike functions

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 (10)

Fekete-Szegö inequality for a subclass of analytic functions defined by Komatu integral operator ⋮ Unnamed Item ⋮ Fekete-Szegö coefficient functional for quasi-subordination class ⋮ Upper bounds for Fekete-Szegö functional ⋮ Fekete–Szegö problem for certain subclasses of analytic functions ⋮ A general solution of the Fekete-Szegő problem ⋮ Fekete-Szegö problem for some subclasses of bi-univalent functions ⋮ Sufficient conditions for strongly star-like functions involving the generalized Srivastava–Attiya operator ⋮ Fekete-Szegö problem for certain subclasses of analytic functions defined by the combination of differential operators ⋮ Bounds of coefficients for classes of analytic functions related to hypergeometric functions

Cites Work

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• Some characterization and distortion theorems involving fractional calculus, generalized hypergeometric functions, Hadamard products, linear operators, and certain subclasses of analytic functions
• New Criteria for Univalent Functions
• The Fekete–Szegö problem for a class of analytic functions defined by Carlson–Shaffer operator
• On the Radius of Univalence of Certain Analytic Functions
• Some Classes of Regular Univalent Functions
• Convex and Starlike Univalent Functions
• On Some Classes of Bounded Univalent Functions

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