### Abstract

We introduced a new differential operator D^{n} _{λ}f(z) where n ∈ No and λ ≥ 0. This operator gave the generalization of the Ruscheweyh derivatives operator. We studied some properties belonging to this operator and used this operator to introduce a new subclass K_{s}
^{(k)} (n, λ, φ) of starlike functions with respect to k-symmetric points defined.

Original language | English |
---|---|

Pages (from-to) | 53-61 |

Number of pages | 9 |

Journal | Journal of Analysis and Applications |

Volume | 7 |

Issue number | 1 |

Publication status | Published - Mar 2009 |

### Fingerprint

### Keywords

- K-symmetric points
- Ruscheweyh derivatives operator
- Univalent functions

### ASJC Scopus subject areas

- Analysis
- Applied Mathematics

### Cite this

**On univalent functions with respect to k-symmetric points defined by a generalized Ruscheweyh derivatives operator.** / Al-Shaqsi, K.; Darus, Maslina.

Research output: Contribution to journal › Article

*Journal of Analysis and Applications*, vol. 7, no. 1, pp. 53-61.

}

TY - JOUR

T1 - On univalent functions with respect to k-symmetric points defined by a generalized Ruscheweyh derivatives operator

AU - Al-Shaqsi, K.

AU - Darus, Maslina

PY - 2009/3

Y1 - 2009/3

N2 - We introduced a new differential operator Dn λf(z) where n ∈ No and λ ≥ 0. This operator gave the generalization of the Ruscheweyh derivatives operator. We studied some properties belonging to this operator and used this operator to introduce a new subclass Ks (k) (n, λ, φ) of starlike functions with respect to k-symmetric points defined.

AB - We introduced a new differential operator Dn λf(z) where n ∈ No and λ ≥ 0. This operator gave the generalization of the Ruscheweyh derivatives operator. We studied some properties belonging to this operator and used this operator to introduce a new subclass Ks (k) (n, λ, φ) of starlike functions with respect to k-symmetric points defined.

KW - K-symmetric points

KW - Ruscheweyh derivatives operator

KW - Univalent functions

UR - http://www.scopus.com/inward/record.url?scp=77949572727&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77949572727&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:77949572727

VL - 7

SP - 53

EP - 61

JO - Journal of Analysis and Applications

JF - Journal of Analysis and Applications

SN - 0972-5954

IS - 1

ER -