Second hankel determinant for a class of analytic functions defined by a linear operator

Aabed Mohammed, Maslina Darus

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

By making use of the linear operator Θ λ,n m, m ε N = {1,2,3, . . .} and λ, n ε N 0 = NU{0} given by the authors, a class of analytic functions S λ,n m(α, σ)(|α| < π/2, 0 ≤ σ < 1) is introduced. The object of the present paper is to obtain sharp upper bound for functional |a 2a 4 - a 2 3|.

Original languageEnglish
Pages (from-to)455-462
Number of pages8
JournalTamkang Journal of Mathematics
Volume43
Issue number3
DOIs
Publication statusPublished - Sep 2012

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

Keywords

  • Hankel determinant
  • Linear operator
  • Positive real functions

ASJC Scopus subject areas

  • Metals and Alloys
  • Materials Science(all)

Cite this

Second hankel determinant for a class of analytic functions defined by a linear operator. / Mohammed, Aabed; Darus, Maslina.

In: Tamkang Journal of Mathematics, Vol. 43, No. 3, 09.2012, p. 455-462.

Research output: Contribution to journalArticle

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