A certain fractional derivative operator and new class of analytic functions with negative coefficients

Tariq Al-Hawary, A. A. Amourah, Feras Yousef, Maslina Darus

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In this paper, using the differential operator Anf(z) defined in the open unit disc U - {z ε C : \z\ <1} we introduce a new subclass of analytic functions Gn(μ, δ, b). Moreover, we discuss radii of close-to-convexity, starlikeness, and convexity. Furthermore, we give an application involving fractional calculus for functions in Gn{μ, δ, b).

Original languageEnglish
Pages (from-to)4433-4441
Number of pages9
JournalInformation (Japan)
Volume18
Issue number11
Publication statusPublished - 1 Nov 2015

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Mathematical operators
Derivatives

Keywords

  • Analytic functions
  • Close-to-convex functions
  • Fractional calculus
  • Starlike functions

ASJC Scopus subject areas

  • General

Cite this

A certain fractional derivative operator and new class of analytic functions with negative coefficients. / Al-Hawary, Tariq; Amourah, A. A.; Yousef, Feras; Darus, Maslina.

In: Information (Japan), Vol. 18, No. 11, 01.11.2015, p. 4433-4441.

Research output: Contribution to journalArticle

Al-Hawary, Tariq ; Amourah, A. A. ; Yousef, Feras ; Darus, Maslina. / A certain fractional derivative operator and new class of analytic functions with negative coefficients. In: Information (Japan). 2015 ; Vol. 18, No. 11. pp. 4433-4441.
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