### 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 language | English |
---|---|

Pages (from-to) | 4433-4441 |

Number of pages | 9 |

Journal | Information (Japan) |

Volume | 18 |

Issue number | 11 |

Publication status | Published - 1 Nov 2015 |

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### Keywords

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

### ASJC Scopus subject areas

- General

### Cite this

*Information (Japan)*,

*18*(11), 4433-4441.

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

Research output: Contribution to journal › Article

*Information (Japan)*, vol. 18, no. 11, pp. 4433-4441.

}

TY - JOUR

T1 - A certain fractional derivative operator and new class of analytic functions with negative coefficients

AU - Al-Hawary, Tariq

AU - Amourah, A. A.

AU - Yousef, Feras

AU - Darus, Maslina

PY - 2015/11/1

Y1 - 2015/11/1

N2 - 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).

AB - 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).

KW - Analytic functions

KW - Close-to-convex functions

KW - Fractional calculus

KW - Starlike functions

UR - http://www.scopus.com/inward/record.url?scp=84957046448&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84957046448&partnerID=8YFLogxK

M3 - Article

VL - 18

SP - 4433

EP - 4441

JO - Information (Japan)

JF - Information (Japan)

SN - 1343-4500

IS - 11

ER -