### Abstract

Al-Shaqsi and Darus (2007) have studied the class of M^{k} _{λ} (a, b, α, β, γ) defined by the generalized Ruscheweyh derivatives operator D^{k} _{λ} for 0 ≤ α < 1, 0 < β ≤ 1, −1 ≤ a < b ≤ 1, 0 < b ≤ 1, 0 < γ ≤^{b} _{b − a}, k ∈ ℵ_{0} and λ ≥ 0. In this paper, we study the characterization theorem for the partial sum of f ∈ M^{k} _{λ} (a, b, α, β, γ).

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

Pages (from-to) | 5353-5359 |

Number of pages | 7 |

Journal | Global Journal of Pure and Applied Mathematics |

Volume | 12 |

Issue number | 6 |

Publication status | Published - 2016 |

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### Keywords

- Generalized Ruscheweyh derivative operator
- Starlike functions
- Univalent functions

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

*Global Journal of Pure and Applied Mathematics*,

*12*(6), 5353-5359.

**Characterization theorems of an analytic function with negative coefficients.** / Yusoff, Nik Nadhilah Nik Mohd; Darus, Maslina.

Research output: Contribution to journal › Article

*Global Journal of Pure and Applied Mathematics*, vol. 12, no. 6, pp. 5353-5359.

}

TY - JOUR

T1 - Characterization theorems of an analytic function with negative coefficients

AU - Yusoff, Nik Nadhilah Nik Mohd

AU - Darus, Maslina

PY - 2016

Y1 - 2016

N2 - Al-Shaqsi and Darus (2007) have studied the class of Mk λ (a, b, α, β, γ) defined by the generalized Ruscheweyh derivatives operator Dk λ for 0 ≤ α < 1, 0 < β ≤ 1, −1 ≤ a < b ≤ 1, 0 < b ≤ 1, 0 < γ ≤b b − a, k ∈ ℵ0 and λ ≥ 0. In this paper, we study the characterization theorem for the partial sum of f ∈ Mk λ (a, b, α, β, γ).

AB - Al-Shaqsi and Darus (2007) have studied the class of Mk λ (a, b, α, β, γ) defined by the generalized Ruscheweyh derivatives operator Dk λ for 0 ≤ α < 1, 0 < β ≤ 1, −1 ≤ a < b ≤ 1, 0 < b ≤ 1, 0 < γ ≤b b − a, k ∈ ℵ0 and λ ≥ 0. In this paper, we study the characterization theorem for the partial sum of f ∈ Mk λ (a, b, α, β, γ).

KW - Generalized Ruscheweyh derivative operator

KW - Starlike functions

KW - Univalent functions

UR - http://www.scopus.com/inward/record.url?scp=85019525476&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85019525476&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85019525476

VL - 12

SP - 5353

EP - 5359

JO - Global Journal of Pure and Applied Mathematics

JF - Global Journal of Pure and Applied Mathematics

SN - 0973-1768

IS - 6

ER -