### Abstract

The new differential operator which is defined on S ^{(a)} is introduced and studied for any analytic function f that is defined in the open disc D^{(a)} = {z :{pipe}z - a{pipe} < 1} as a linear operator. For a function f ∈ S ^{(a)} , the class is presented and discussed. Some applications of the fractional calculus for univalent functions in the class are given. The growth and distortion theorems are discussed.

Original language | English |
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Pages (from-to) | 124-131 |

Number of pages | 8 |

Journal | European Journal of Scientific Research |

Volume | 28 |

Issue number | 1 |

Publication status | Published - 2009 |

### Fingerprint

### Keywords

- Analytic univalent functions
- Differential operator
- Linear operator

### ASJC Scopus subject areas

- General

### Cite this

*European Journal of Scientific Research*,

*28*(1), 124-131.

**New subclass of analytic functions with some applications.** / Al-Kasasbeh, Faisal; Darus, Maslina.

Research output: Contribution to journal › Article

*European Journal of Scientific Research*, vol. 28, no. 1, pp. 124-131.

}

TY - JOUR

T1 - New subclass of analytic functions with some applications

AU - Al-Kasasbeh, Faisal

AU - Darus, Maslina

PY - 2009

Y1 - 2009

N2 - The new differential operator which is defined on S (a) is introduced and studied for any analytic function f that is defined in the open disc D(a) = {z :{pipe}z - a{pipe} < 1} as a linear operator. For a function f ∈ S (a) , the class is presented and discussed. Some applications of the fractional calculus for univalent functions in the class are given. The growth and distortion theorems are discussed.

AB - The new differential operator which is defined on S (a) is introduced and studied for any analytic function f that is defined in the open disc D(a) = {z :{pipe}z - a{pipe} < 1} as a linear operator. For a function f ∈ S (a) , the class is presented and discussed. Some applications of the fractional calculus for univalent functions in the class are given. The growth and distortion theorems are discussed.

KW - Analytic univalent functions

KW - Differential operator

KW - Linear operator

UR - http://www.scopus.com/inward/record.url?scp=65449130114&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=65449130114&partnerID=8YFLogxK

M3 - Article

VL - 28

SP - 124

EP - 131

JO - European Journal of Scientific Research

JF - European Journal of Scientific Research

SN - 1450-202X

IS - 1

ER -