Some properties of certain multivalent analytic functions involving the Cho-Kwon-Srivastava operator

Zhi Gang Wang, R. Aghalary, Maslina Darus, R. W. Ibrahim

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

By making use of the principle of subordination between analytic functions and the Cho-Kwon-Srivastava operator, we introduce a certain subclass of multivalent analytic functions. Such results as subordination and superordination properties, convolution properties, inclusion relationships, distortion theorems, inequality properties and sufficient conditions for multivalent starlikeness are proved. The results presented here would provide extensions of those given in earlier works. Several other new results are also obtained.

Original languageEnglish
Pages (from-to)1969-1984
Number of pages16
JournalMathematical and Computer Modelling
Volume49
Issue number9-10
DOIs
Publication statusPublished - May 2009

Fingerprint

Multivalent Functions
Mathematical operators
Analytic function
Subordination between Analytic Functions
Operator
Convolution
Distortion Theorem
Starlikeness
Subordination
Inclusion
Sufficient Conditions

Keywords

  • Analytic functions
  • Cho-Kwon-Srivastava operator
  • Differential subordination
  • Hadamard product (or Convolution)
  • Jack's lemma
  • Multivalent functions
  • Superordination

ASJC Scopus subject areas

  • Computer Science Applications
  • Modelling and Simulation

Cite this

Some properties of certain multivalent analytic functions involving the Cho-Kwon-Srivastava operator. / Wang, Zhi Gang; Aghalary, R.; Darus, Maslina; Ibrahim, R. W.

In: Mathematical and Computer Modelling, Vol. 49, No. 9-10, 05.2009, p. 1969-1984.

Research output: Contribution to journalArticle

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