Coefficient bounds for a new subclass of analytic bi-close-to-convex functions by making use of Faber polynomial expansion

DOI10.3906/mat-1605-117zbMath1424.30070OpenAlexW2743412468MaRDI QIDQ4633332

F. Müge Sakar, Hatun Özlem Güney

Publication date: 2 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1605-117

zbMATH Keywords

analytic functionsFaber polynomialscoefficient estimatesbi-univalent functionsbi-close-to convex functions

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (6)

Estimating coefficients for certain subclasses of meromorphic and bi-univalent functions ⋮ The Faber polynomial expansion method and the Taylor-Maclaurin coefficient estimates of bi-close-to-convex functions connected with the \(q\)-convolution ⋮ Certain subclasses of bi-close-to-convex functions associated with quasi-subordination ⋮ A note on the coefficient estimates of bi-close-to-convex functions ⋮ Coefficient problems for unified starlike and convex classes of m-fold symmetric bi-univalent functions ⋮ Unnamed Item

Cites Work

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• Certain subclasses of analytic and bi-univalent functions
• A proof of the Bieberbach conjecture
• On the Faber polynomials of the univalent functions of class \(\Sigma\)
• An algebra of diffential operators and generating functions on the set of univalent functions
• Faber polynomial coefficient estimates for analytic bi-close-to-convex functions
• Coefficient estimates for certain classes of bi-univalent functions
• Differential calculus on the Faber polynomials
• The minimal distance of the image boundary from the origin and the second coefficient of a univalent function in \(| z| < 1\)
• Close-to-convex schlicht functions
• On a Coefficient Problem for Bi-Univalent Functions

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