Fekete-Szegö problem for univalent functions with respect to k-symmetric points

K. Al-Shaqsi, Maslina Darus

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

In the present investigation, sharp upper bounds of a3-αa2 2 for functions f(z) = z+a2 z2 + a3 z3+... belonging to certain subclasses of starlike and convex functions with respect to k-symmetric points are obtained. Also certain applications of the main results for subclasses of functions defined by convolution with a normalized analytic function are given. In particular, Fekete- Szegö inequalities for certain classes of functions defined through fractional derivatives are obtained.

Original languageEnglish
JournalAustralian Journal of Mathematical Analysis and Applications
Volume5
Issue number2
Publication statusPublished - 2008

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Univalent Functions
Starlike and Convex Functions
Fractional Derivative
Convolution
Analytic function
Upper bound
Derivatives

Keywords

  • Analytic functions
  • Coefficient problem
  • Convex functions
  • Fekete-Szegö inequality
  • k-symmetric points
  • Starlike functions
  • Subordination

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

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KW - Subordination

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