### Abstract

Let A be the class of all analytic functions of the form f(z) = z + ∑_{k=2}
^{∞}1a_{k}z^{k} defined on the open unit disk U= {z : |z| < 1}. In this paper we define a subclass of a-uniform starlike and convex functions by using the generalized Ruscheweyh derivatives operator introduced by authors in [9], Several properties to this class are obtained.

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

Pages (from-to) | 355-365 |

Number of pages | 11 |

Journal | Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis |

Volume | 24 |

Issue number | 3 |

Publication status | Published - 2008 |

### Fingerprint

### Keywords

- A-uniformly convex functions
- A-uniformly starlike functions
- Analytic functions
- Derivatives operator
- Hadamard product

### ASJC Scopus subject areas

- Mathematics(all)
- Education

### Cite this

*Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis*,

*24*(3), 355-365.

**On classes of uniformly starlike and convex functions with negative coefficients.** / Al Shaqsi, K.; Darus, Maslina.

Research output: Contribution to journal › Article

*Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis*, vol. 24, no. 3, pp. 355-365.

}

TY - JOUR

T1 - On classes of uniformly starlike and convex functions with negative coefficients

AU - Al Shaqsi, K.

AU - Darus, Maslina

PY - 2008

Y1 - 2008

N2 - Let A be the class of all analytic functions of the form f(z) = z + ∑k=2 ∞1akzk defined on the open unit disk U= {z : |z| < 1}. In this paper we define a subclass of a-uniform starlike and convex functions by using the generalized Ruscheweyh derivatives operator introduced by authors in [9], Several properties to this class are obtained.

AB - Let A be the class of all analytic functions of the form f(z) = z + ∑k=2 ∞1akzk defined on the open unit disk U= {z : |z| < 1}. In this paper we define a subclass of a-uniform starlike and convex functions by using the generalized Ruscheweyh derivatives operator introduced by authors in [9], Several properties to this class are obtained.

KW - A-uniformly convex functions

KW - A-uniformly starlike functions

KW - Analytic functions

KW - Derivatives operator

KW - Hadamard product

UR - http://www.scopus.com/inward/record.url?scp=57949106244&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=57949106244&partnerID=8YFLogxK

M3 - Article

VL - 24

SP - 355

EP - 365

JO - Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis

JF - Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis

SN - 0866-0182

IS - 3

ER -