### Abstract

In this article, we consider classes S*_{sc, λ}(p, α, β), S*_{c, λ}(p, α, β), and S*_{sc, λ}(p, α, β) of p-valent analytic functions with negative coefficients in the unit disk. They are, respectively, (λ, p)-starlike with respect to symmetric points, (λ, p)-starlike with respect to conjugate points, and (λ, p)-starlike with respect to symmetric conju-gate points. Necessary and sufficient coefficient conditions for functions f belonging to these classes are obtained. Several properties such as the coefficient estimates, growth and distortion theorems, extreme points, radii of starlikeness, convexity, and integral operator are studied.

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

Pages (from-to) | 35-49 |

Number of pages | 15 |

Journal | Buletinul Academiei de Stiinte a Republicii Moldova. Matematica |

Volume | 79 |

Issue number | 3 |

Publication status | Published - 2015 |

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### Keywords

- P-valent functions
- Salagean operator
- Starlike with respect to symmetric points
- Univalent functions

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

**Certain classes of p-valent analytic functions with negative coefficients and (λ, P)-starlike with respect to certain points.** / Alamoush, Adnan Ghazy; Darus, Maslina.

Research output: Contribution to journal › Article

*Buletinul Academiei de Stiinte a Republicii Moldova. Matematica*, vol. 79, no. 3, pp. 35-49.

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TY - JOUR

T1 - Certain classes of p-valent analytic functions with negative coefficients and (λ, P)-starlike with respect to certain points

AU - Alamoush, Adnan Ghazy

AU - Darus, Maslina

PY - 2015

Y1 - 2015

N2 - In this article, we consider classes S*sc, λ(p, α, β), S*c, λ(p, α, β), and S*sc, λ(p, α, β) of p-valent analytic functions with negative coefficients in the unit disk. They are, respectively, (λ, p)-starlike with respect to symmetric points, (λ, p)-starlike with respect to conjugate points, and (λ, p)-starlike with respect to symmetric conju-gate points. Necessary and sufficient coefficient conditions for functions f belonging to these classes are obtained. Several properties such as the coefficient estimates, growth and distortion theorems, extreme points, radii of starlikeness, convexity, and integral operator are studied.

AB - In this article, we consider classes S*sc, λ(p, α, β), S*c, λ(p, α, β), and S*sc, λ(p, α, β) of p-valent analytic functions with negative coefficients in the unit disk. They are, respectively, (λ, p)-starlike with respect to symmetric points, (λ, p)-starlike with respect to conjugate points, and (λ, p)-starlike with respect to symmetric conju-gate points. Necessary and sufficient coefficient conditions for functions f belonging to these classes are obtained. Several properties such as the coefficient estimates, growth and distortion theorems, extreme points, radii of starlikeness, convexity, and integral operator are studied.

KW - P-valent functions

KW - Salagean operator

KW - Starlike with respect to symmetric points

KW - Univalent functions

UR - http://www.scopus.com/inward/record.url?scp=84964562828&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84964562828&partnerID=8YFLogxK

M3 - Article

VL - 79

SP - 35

EP - 49

JO - Buletinul Academiei de Stiinte a Republicii Moldova. Matematica

JF - Buletinul Academiei de Stiinte a Republicii Moldova. Matematica

SN - 1024-7696

IS - 3

ER -