On a univalent class involving differential subordinations with applications

R. W. Ibrahim, Maslina Darus

Research output: Contribution to journalArticle

Abstract

Problem statement: By means of the Hadamard product (or convolution), new class of analytic functions was formed. This class was motivated by many authors. Approach: By using the concept of the subordination and superordination, we define certain differential inequalities and first order differential subordinations. Results: As their applications, we obtain some sufficient conditions for univalence which generalize and refine some previous results. Sandwich theorem is also obtained. Conclusion: Therefore, we posed a new class of analytic functions which generalized some well known subclasses. This class involves the E(Φ,Ψ) - family of functions.

Original languageEnglish
Pages (from-to)137-143
Number of pages7
JournalJournal of Mathematics and Statistics
Volume7
Issue number2
DOIs
Publication statusPublished - 2011

Fingerprint

Differential Subordination
Hadamard Product (or convolution)
Generalized Analytic Functions
Subordination
Sandwich
Differential Inequalities
Analytic function
First-order
Generalise
Class
Sufficient Conditions
Theorem

Keywords

  • Close-to-convex functions
  • Convex functions
  • Differential sandwich
  • Differential subordination
  • Dziok-srivastava linear operator
  • Hadamard product
  • Sandwich theorem
  • Superordination
  • Unit disk

ASJC Scopus subject areas

  • Mathematics(all)
  • Statistics and Probability

Cite this

On a univalent class involving differential subordinations with applications. / Ibrahim, R. W.; Darus, Maslina.

In: Journal of Mathematics and Statistics, Vol. 7, No. 2, 2011, p. 137-143.

Research output: Contribution to journalArticle

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