Hankel determinant for certain class of analytic function defined by generalised derivative operator

Ma'Moun Harayzeh Al-Abbadi, Maslina Darus

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The authors in [1] have recently introduced a new generalised derivatives operator μ n,m λ1, λ1, which generalised many well-known operators studied earlier bymany different authors. By making use of the generalised derivative operator μ n,m λ1, λ1, the authors derive the class of function denoted by H n,m λ1, λ1, which contain normalised analytic univalent functions f defined on the open unit disc U = {z ε C : |z| < 1} and satisfy Re(μ n,m λ1, λ1 f (z))' > 0, (z ε U). This paper focuses on attaining sharp upper bound for the functional |a 2a 4 - a 2 3| for functions f (z)= {equation presented} belonging to the class H n,m λ1, λ1.

Original languageEnglish
Pages (from-to)445-453
Number of pages9
JournalTamkang Journal of Mathematics
Volume43
Issue number3
DOIs
Publication statusPublished - Sep 2012

Fingerprint

Hankel Determinant
Generalized Derivatives
Mathematical operators
Analytic function
Derivatives
Operator
Univalent Functions
Unit Disk
Upper bound
Class

Keywords

  • Analytic function
  • Convex and starlike functions
  • Derivative operator
  • Fekete-Szegö functional
  • Hankel determinant
  • Positive real functions
  • Univalent function

ASJC Scopus subject areas

  • Metals and Alloys
  • Materials Science(all)

Cite this

Hankel determinant for certain class of analytic function defined by generalised derivative operator. / Al-Abbadi, Ma'Moun Harayzeh; Darus, Maslina.

In: Tamkang Journal of Mathematics, Vol. 43, No. 3, 09.2012, p. 445-453.

Research output: Contribution to journalArticle

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