Norm of pre-Schwarzian derivative for the class of \(k\)-uniformly convex and \(k\)-starlike functions

DOI10.1016/j.amc.2009.08.021zbMath1177.30012OpenAlexW2077778339MaRDI QIDQ1039700

Stanislawa Kanas

Publication date: 23 November 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.08.021

zbMATH Keywords

quasiconformal extensionpre-Schwarzian derivative\(k\)-uniformly convex function\(k\)-starlike function

Mathematics Subject Classification ID

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

Related Items (6)

Inclusion relations for Bessel functions for domains bounded by conical domains ⋮ Unnamed Item ⋮ Hankel determinant for a class of analytic functions involving conical domains defined by subordination ⋮ Starlikeness and convexity of the product of certain multivalent functions with higher-order derivatives ⋮ Subclass of \(k\)-uniformly starlike functions defined by the symmetric \(q\)-derivative operator ⋮ Applications on a subclass of β-uniformly starlike functions connected with q-Borel distribution

Cites Work

• Explicit quasiconformal extensions for some classes of univalent functions
• Norm estimates for function starlike or convex of order alpha
• Conic regions and \(k\)-uniform convexity
• Growth and coefficient estimates for uniformly locally univalent functions on the unit disk.
• Techniques of the differential subordination for domains bounded by conic sections
• Subordinations for domains bounded by conic sections
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• Unnamed Item

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