The Fekete-Szegö problem for some classes of analytic functions

Nik Nadhilah Nik Mohd Yusoff, Maslina Darus

Research output: Contribution to journalArticle

Abstract

For λ ≥ 0, α > 0 and β ≥ 0, let B (λ, α, β) be the class of function defined in the open unit disk U by (Formula presented) where f (z) = z + a2z2 +… is an analytic function. Also, in this paper, we introduce a new class of B (λ, α, ρ). Hence, for f ∈ B (λ, α, β) and f ∈ B (λ, α, ρ), the sharp upper bounds are obtained for the Fekete-Szegö functional |a3 − μa2 2| where μ are real and complex.

Original languageEnglish
Pages (from-to)5223-5231
Number of pages9
JournalGlobal Journal of Pure and Applied Mathematics
Volume12
Issue number6
Publication statusPublished - 2016

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Analytic function
Unit Disk
Upper bound
Class

Keywords

  • Analytic functions
  • Fekete-Szegö functional
  • Normalized functions
  • Univalent functions

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

The Fekete-Szegö problem for some classes of analytic functions. / Yusoff, Nik Nadhilah Nik Mohd; Darus, Maslina.

In: Global Journal of Pure and Applied Mathematics, Vol. 12, No. 6, 2016, p. 5223-5231.

Research output: Contribution to journalArticle

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