New subclass of analytic functions with some applications

Faisal Al-Kasasbeh, Maslina Darus

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

The new differential operator which is defined on S (a) is introduced and studied for any analytic function f that is defined in the open disc D(a) = {z :{pipe}z - a{pipe} < 1} as a linear operator. For a function f ∈ S (a) , the class is presented and discussed. Some applications of the fractional calculus for univalent functions in the class are given. The growth and distortion theorems are discussed.

Original languageEnglish
Pages (from-to)124-131
Number of pages8
JournalEuropean Journal of Scientific Research
Volume28
Issue number1
Publication statusPublished - 2009

Fingerprint

Calculi
pipes
Analytic function
pipe
Distortion Theorem
calculi
Univalent Functions
Mathematical operators
Fractional Calculus
Growth
Pipe
Linear Operator
Differential operator
Class

Keywords

  • Analytic univalent functions
  • Differential operator
  • Linear operator

ASJC Scopus subject areas

  • General

Cite this

New subclass of analytic functions with some applications. / Al-Kasasbeh, Faisal; Darus, Maslina.

In: European Journal of Scientific Research, Vol. 28, No. 1, 2009, p. 124-131.

Research output: Contribution to journalArticle

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