### Abstract

A class S_{s}*T(α, β, σ, k) of functions f which are analytic and univalent in the open unit disk D = {z : |z| < 1} given by f(z) = z - Σ_{n=2}
^{∞}a_{n}z ^{n} and satisfying the condition |zf′(z)/f(z)-f(-z) - k| < β|αzf′(z)/f(z) - f(-z) - (2σ - k) for 0 ≤ α ≤ 1, 0 < β ≤ 1, 0 ≤ σ ≤1/2 < k ≤ 1, z ∈ D, is introduced and studied. An analogous class S_{c}*T(α, β, σ, k) and S_{sc}*T(α, β, σ, k) are also examined.

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

Pages (from-to) | 345-354 |

Number of pages | 10 |

Journal | Tamkang Journal of Mathematics |

Volume | 37 |

Issue number | 4 |

Publication status | Published - 2006 |

### Fingerprint

### Keywords

- Analytic
- Starlike with respect to symmetric points
- Univalent

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Tamkang Journal of Mathematics*,

*37*(4), 345-354.

**Classes with negative coefficients and starlike with respect to other points II.** / Halim, Suzeini Abdul; Janteng, Aini; Darus, Maslina.

Research output: Contribution to journal › Article

*Tamkang Journal of Mathematics*, vol. 37, no. 4, pp. 345-354.

}

TY - JOUR

T1 - Classes with negative coefficients and starlike with respect to other points II

AU - Halim, Suzeini Abdul

AU - Janteng, Aini

AU - Darus, Maslina

PY - 2006

Y1 - 2006

N2 - A class Ss*T(α, β, σ, k) of functions f which are analytic and univalent in the open unit disk D = {z : |z| < 1} given by f(z) = z - Σn=2 ∞anz n and satisfying the condition |zf′(z)/f(z)-f(-z) - k| < β|αzf′(z)/f(z) - f(-z) - (2σ - k) for 0 ≤ α ≤ 1, 0 < β ≤ 1, 0 ≤ σ ≤1/2 < k ≤ 1, z ∈ D, is introduced and studied. An analogous class Sc*T(α, β, σ, k) and Ssc*T(α, β, σ, k) are also examined.

AB - A class Ss*T(α, β, σ, k) of functions f which are analytic and univalent in the open unit disk D = {z : |z| < 1} given by f(z) = z - Σn=2 ∞anz n and satisfying the condition |zf′(z)/f(z)-f(-z) - k| < β|αzf′(z)/f(z) - f(-z) - (2σ - k) for 0 ≤ α ≤ 1, 0 < β ≤ 1, 0 ≤ σ ≤1/2 < k ≤ 1, z ∈ D, is introduced and studied. An analogous class Sc*T(α, β, σ, k) and Ssc*T(α, β, σ, k) are also examined.

KW - Analytic

KW - Starlike with respect to symmetric points

KW - Univalent

UR - http://www.scopus.com/inward/record.url?scp=33847706550&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33847706550&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:33847706550

VL - 37

SP - 345

EP - 354

JO - Tamkang Journal of Mathematics

JF - Tamkang Journal of Mathematics

SN - 0049-2930

IS - 4

ER -