Differential subordination and Superordination of analytic functions defined by a generalized derivative operator

N. M. Mustafa, Maslina Darus

Research output: Contribution to journalArticle

Abstract

Differential subordination and superordination results are obtained for analytic functions in the open unit disk which are associated with the gen- eralized derivative operator Dα,δ p (μ, q, λ)f(z). These results are obtained by investigating appropriate classes of admissible functions. Sandwich-type re- sults are also obtained. Some of the results established in this paper would provide extensions to those given in the earlier works.

Original languageEnglish
Pages (from-to)309-328
Number of pages20
JournalInternational Journal of Pure and Applied Mathematics
Volume79
Issue number2
Publication statusPublished - 2012

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Differential Superordination
Differential Subordination
Generalized Derivatives
Mathematical operators
Analytic function
Derivatives
Operator
Sandwich
Unit Disk
Derivative

Keywords

  • Analytic function
  • Differential subordination
  • Superordination

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

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