### Abstract

Let A{script} denote the class of analytic functions with the normalization f(0) = f′(0) - 1 = 0 in the open unit disk U = {z: |z| < 1}, set and define (f^{n}
_{b,λ})^{(-1)} in terms of the Hadamard product In this paper, the authors introduce several new subclasses of analytic functions defined by means of the operator given by Inclusion properties of these classes and the classes involving the generalized Libera integral operator given by Inclusion properties of these classes and the classes involving the generalized Libera integral operator are also considered.

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

Pages (from-to) | 1799-1810 |

Number of pages | 12 |

Journal | Applied Mathematical Sciences |

Volume | 3 |

Issue number | 33-36 |

Publication status | Published - 2009 |

### Fingerprint

### Keywords

- Analytic functions
- Integral operator
- Multiplier transformation
- Subordination

### ASJC Scopus subject areas

- Applied Mathematics

### Cite this

*Applied Mathematical Sciences*,

*3*(33-36), 1799-1810.

**On certain subclasses of analytic functions defined by a multiplier transformation with two parameters.** / Al-Shaqsi, K.; Darus, Maslina.

Research output: Contribution to journal › Article

*Applied Mathematical Sciences*, vol. 3, no. 33-36, pp. 1799-1810.

}

TY - JOUR

T1 - On certain subclasses of analytic functions defined by a multiplier transformation with two parameters

AU - Al-Shaqsi, K.

AU - Darus, Maslina

PY - 2009

Y1 - 2009

N2 - Let A{script} denote the class of analytic functions with the normalization f(0) = f′(0) - 1 = 0 in the open unit disk U = {z: |z| < 1}, set and define (fn b,λ)(-1) in terms of the Hadamard product In this paper, the authors introduce several new subclasses of analytic functions defined by means of the operator given by Inclusion properties of these classes and the classes involving the generalized Libera integral operator given by Inclusion properties of these classes and the classes involving the generalized Libera integral operator are also considered.

AB - Let A{script} denote the class of analytic functions with the normalization f(0) = f′(0) - 1 = 0 in the open unit disk U = {z: |z| < 1}, set and define (fn b,λ)(-1) in terms of the Hadamard product In this paper, the authors introduce several new subclasses of analytic functions defined by means of the operator given by Inclusion properties of these classes and the classes involving the generalized Libera integral operator given by Inclusion properties of these classes and the classes involving the generalized Libera integral operator are also considered.

KW - Analytic functions

KW - Integral operator

KW - Multiplier transformation

KW - Subordination

UR - http://www.scopus.com/inward/record.url?scp=74849118290&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=74849118290&partnerID=8YFLogxK

M3 - Article

VL - 3

SP - 1799

EP - 1810

JO - Applied Mathematical Sciences

JF - Applied Mathematical Sciences

SN - 1312-885X

IS - 33-36

ER -