Differential subordination results for new classes of the family ε(Φ, ψ)

Rabha W. Ibrahim, Maslina Darus

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

We define new classes of the family ε(Φ, ψ), in a unit disk U :={z ∈ ℂ, \z\ < 1}, as follows: for analytic functions F(z),Φ(z) and ψ(z) so that ∩{F(z)*Φ(z)/F(z)*Φ(z) } > 0, z ∈ U, F(z) *ψ(z) ≠ 0 where the operator * denotes the convolution or Hadamard product. Moreover, we establish some subordination results for these new classes.

Original languageEnglish
Article number8
JournalJournal of Inequalities in Pure and Applied Mathematics
Volume10
Issue number1
Publication statusPublished - 2009

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Differential Subordination
Convolution
Mathematical operators
Hadamard Product (or convolution)
Subordination
Unit Disk
Denote
Operator
Class
Family

Keywords

  • Fractional calculus
  • Hadamard product
  • Subordination

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Differential subordination results for new classes of the family ε(Φ, ψ). / Ibrahim, Rabha W.; Darus, Maslina.

In: Journal of Inequalities in Pure and Applied Mathematics, Vol. 10, No. 1, 8, 2009.

Research output: Contribution to journalArticle

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