Hankel determinant for a class of analytic functions involving a generalized linear differential operator

Afaf Abubaker, Maslina Darus

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

By making use of the linear differential operator D α,μ σ,ρ defined recently by the authors, a class of analytic functions is introduced. The sharp upper bound for the nonlinear functional |a2a4 - a3 2) is obtained.

Original languageEnglish
Pages (from-to)429-435
Number of pages7
JournalInternational Journal of Pure and Applied Mathematics
Volume69
Issue number4
Publication statusPublished - 2011

Fingerprint

Hankel Determinant
Linear Differential Operator
Mathematical operators
Analytic function
Upper bound
Class

Keywords

  • Fekete-Szegöfunctional
  • Hankel determinant
  • Linear differential operator
  • Positive real functions

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

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abstract = "By making use of the linear differential operator D α,μ σ,ρ defined recently by the authors, a class of analytic functions is introduced. The sharp upper bound for the nonlinear functional |a2a4 - a3 2) is obtained.",
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AU - Darus, Maslina

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KW - Hankel determinant

KW - Linear differential operator

KW - Positive real functions

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