### Abstract

In this paper, new subclasses of analytic functions defined using new generalized derivative operator are introduced. Several inclusion relationships and some other interesting properties of these classes are discussed. In addition, inclusion relationships of these classes involving the generalized Bernardi-Libera-Livington integral operator are also considered.

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

Pages (from-to) | 203-219 |

Number of pages | 17 |

Journal | Far East Journal of Mathematical Sciences |

Volume | 95 |

Issue number | 2 |

Publication status | Published - 1 Dec 2014 |

### Fingerprint

### Keywords

- Close to convex function
- Convex function
- Hadamard product
- Integral operator
- Starlike function
- Subordination
- Univalent function

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

**Inclusion relationships of certainsubclasses of analytic functions definedby new generalized derivative operator.** / Oshah, Anessa; Darus, Maslina.

Research output: Contribution to journal › Article

*Far East Journal of Mathematical Sciences*, vol. 95, no. 2, pp. 203-219.

}

TY - JOUR

T1 - Inclusion relationships of certainsubclasses of analytic functions definedby new generalized derivative operator

AU - Oshah, Anessa

AU - Darus, Maslina

PY - 2014/12/1

Y1 - 2014/12/1

N2 - In this paper, new subclasses of analytic functions defined using new generalized derivative operator are introduced. Several inclusion relationships and some other interesting properties of these classes are discussed. In addition, inclusion relationships of these classes involving the generalized Bernardi-Libera-Livington integral operator are also considered.

AB - In this paper, new subclasses of analytic functions defined using new generalized derivative operator are introduced. Several inclusion relationships and some other interesting properties of these classes are discussed. In addition, inclusion relationships of these classes involving the generalized Bernardi-Libera-Livington integral operator are also considered.

KW - Close to convex function

KW - Convex function

KW - Hadamard product

KW - Integral operator

KW - Starlike function

KW - Subordination

KW - Univalent function

UR - http://www.scopus.com/inward/record.url?scp=84920933130&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84920933130&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84920933130

VL - 95

SP - 203

EP - 219

JO - Far East Journal of Mathematical Sciences

JF - Far East Journal of Mathematical Sciences

SN - 0972-0871

IS - 2

ER -