Fekete-Szegő problems for quasi-subordination classes

DOI10.1155/2012/192956zbMath1267.30047OpenAlexW2076862700WikidataQ58695929 ScholiaQ58695929MaRDI QIDQ696005

Maisarah Haji Mohd, Darus, Maslina

Publication date: 18 December 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/192956

zbMATH Keywords

Fekete-Szegő functionalalpha logarithmic convexityalpha-convexityquasi-subordination

Mathematics Subject Classification ID

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

Related Items

Fekete-Szegö problem for a class of \(\lambda \)-convex and \(\mu \)-starlike functions associated with \(k\)-th root transformation using quasi-subordination ⋮ On (p, q)-Quantum Calculus Involving Quasi-Subordination ⋮ On sharp bounds of Fekete-Szegő functional for a certain bi-univalent function class associated with quasi-subordination ⋮ Fekete-Szegö coefficient functional for quasi-subordination class ⋮ Certain subclasses of bistarlike and biconvex functions based on quasi-subordination ⋮ Unnamed Item ⋮ Fekete-Szegö functional for a class of non-Bazilevic functions related to quasi-subordination ⋮ Generalized distribution for analytic function classes associated with error functions and Bell numbers ⋮ Coefficient bounds for certain analytic functions ⋮ Fekete-Szegö inequalities associated with \(k^{\text{th}}\) root transformation based on quasi-subordination ⋮ Application of quasisubordination to certain classes of meromorphic functions ⋮ Estimates of initial coefficients for certain subclasses of bi-univalent functions involving quasi-subordination ⋮ Coefficient estimates and Fekete-Szegö inequality for new subclass of bi-bazilevič functions by (s,t)-derivative operator and quasisubordination ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The Fekete-Szegö functional associated with \(k\)-th root transformation using quasi-subordination ⋮ The Fekete-Szegö functional associated with \(k\)-th root transformation using quasi-subordination ⋮ Sharp bounds of Fekete-Szegő functional for quasi-subordination class ⋮ Fekete-Szegö properties for quasi-subordination class of complex order defined by Sălăgean operator ⋮ Quasi-subordination and coefficient bounds for certain classes of meromorphic functions of complex order

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An unified approach to the Fekete-Szegő problem
• Coefficient bounds for \(p\)-valent functions
• The Fekete-Szegö coefficient functional for transforms of analytic functions
• Fekete-Szegő problem for starlike and convex functions of complex order
• A general approach to the Fekete-Szegö problem
• A proof of the Bieberbach conjecture
• \(\alpha\)-logarithmically convex functions
• On the Fekete-Szegö problem for strongly \(\alpha\)-logarithmic quasiconvex functions
• Majorizations and quasi-subordinations for certain analytic functions
• On a class of univalent functions related to complex order
• Some inequalities on quasi-subordinate functions
• A Coefficient Inequality for Certain Classes of Analytic Functions
• Quasi-subordination and coefficient conjectures