### Abstract

In this work, we give a distortion theorem for certain subclasses of analytic functions that are univalent in the unit disk, and we defined a certain class of Bazilevic function using linear operator. The results generalize and unify similar well known results for several subclasses of univalent functions defined on the unit disk having the form f(z) = z + Σ ^{∞} _{k=2}a _{k}z ^{k}, and normalized by f(0) = 0 and f′(0) = 1.

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

Pages (from-to) | 591-597 |

Number of pages | 7 |

Journal | International Journal of Mathematical Analysis |

Volume | 6 |

Issue number | 9-12 |

Publication status | Published - 2012 |

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### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*International Journal of Mathematical Analysis*,

*6*(9-12), 591-597.

**Distortion theorem for certain class of bazilevic functions.** / Amer, Aisha Ahmed; Darus, Maslina.

Research output: Contribution to journal › Article

*International Journal of Mathematical Analysis*, vol. 6, no. 9-12, pp. 591-597.

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TY - JOUR

T1 - Distortion theorem for certain class of bazilevic functions

AU - Amer, Aisha Ahmed

AU - Darus, Maslina

PY - 2012

Y1 - 2012

N2 - In this work, we give a distortion theorem for certain subclasses of analytic functions that are univalent in the unit disk, and we defined a certain class of Bazilevic function using linear operator. The results generalize and unify similar well known results for several subclasses of univalent functions defined on the unit disk having the form f(z) = z + Σ ∞ k=2a kz k, and normalized by f(0) = 0 and f′(0) = 1.

AB - In this work, we give a distortion theorem for certain subclasses of analytic functions that are univalent in the unit disk, and we defined a certain class of Bazilevic function using linear operator. The results generalize and unify similar well known results for several subclasses of univalent functions defined on the unit disk having the form f(z) = z + Σ ∞ k=2a kz k, and normalized by f(0) = 0 and f′(0) = 1.

UR - http://www.scopus.com/inward/record.url?scp=84865113773&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84865113773&partnerID=8YFLogxK

M3 - Article

VL - 6

SP - 591

EP - 597

JO - International Journal of Mathematical Analysis

JF - International Journal of Mathematical Analysis

SN - 1312-8876

IS - 9-12

ER -