### Abstract

We introduce an integral operator on the class A of analytic functions in the unit disk involving k-th Hadamard product (convolution) corresponding to the differential operator defined recently by Al-Shaqsi and Darus. New classes containing this operator are studied. Characterization and other properties of these classes are studied. Moreover, subordination and superordination results involving this operator are obtained.

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

Pages (from-to) | 135-152 |

Number of pages | 18 |

Journal | ITB Journal of Science |

Volume | 42 A |

Issue number | 2 |

Publication status | Published - 2010 |

### Fingerprint

### Keywords

- Hadamard product
- Integral operator
- Subordination
- Superordination

### ASJC Scopus subject areas

- General

### Cite this

*ITB Journal of Science*,

*42 A*(2), 135-152.

**Integral operator defined by k-th Hadamard product.** / Darus, Maslina; Ibrahim, Rabha W.

Research output: Contribution to journal › Article

*ITB Journal of Science*, vol. 42 A, no. 2, pp. 135-152.

}

TY - JOUR

T1 - Integral operator defined by k-th Hadamard product

AU - Darus, Maslina

AU - Ibrahim, Rabha W.

PY - 2010

Y1 - 2010

N2 - We introduce an integral operator on the class A of analytic functions in the unit disk involving k-th Hadamard product (convolution) corresponding to the differential operator defined recently by Al-Shaqsi and Darus. New classes containing this operator are studied. Characterization and other properties of these classes are studied. Moreover, subordination and superordination results involving this operator are obtained.

AB - We introduce an integral operator on the class A of analytic functions in the unit disk involving k-th Hadamard product (convolution) corresponding to the differential operator defined recently by Al-Shaqsi and Darus. New classes containing this operator are studied. Characterization and other properties of these classes are studied. Moreover, subordination and superordination results involving this operator are obtained.

KW - Hadamard product

KW - Integral operator

KW - Subordination

KW - Superordination

UR - http://www.scopus.com/inward/record.url?scp=77954108741&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77954108741&partnerID=8YFLogxK

M3 - Article

VL - 42 A

SP - 135

EP - 152

JO - Journal of Mathematical and Fundamental Sciences

JF - Journal of Mathematical and Fundamental Sciences

SN - 2337-5760

IS - 2

ER -