### Abstract

The aim of the article is to study a sufficient condition for the classes S_{H} ^{k} (m, b, λ_{1}, λ_{2}, δ, α) and C_{H} ^{k} (m, b, λ_{1}, λ_{2}, δ, α) which are starlike and convex harmonic univalent functions with respect to k-symmetric, respectively. The necessary condition for f to be in the classes T S_{H} ^{k} (m, b, λ_{1}, λ_{2}, δ, α) and T C_{H} ^{k} (m, b, λ_{1}, λ_{2}, δ, α) will be studied. In addition, growth bounds for functions in T S_{H} ^{k} (m, b, λ_{1}, λ_{2}, δ, α) will also be given.

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

Pages (from-to) | 1509-1519 |

Number of pages | 11 |

Journal | Information (Japan) |

Volume | 18 |

Issue number | 5 |

Publication status | Published - 1 May 2015 |

### Fingerprint

### Keywords

- Convex harmonic functions
- Derivative operator
- Harmonic functions
- k-symmetric points
- Starlike harmonic functions
- Univalent functions

### ASJC Scopus subject areas

- General

### Cite this

*Information (Japan)*,

*18*(5), 1509-1519.

**On certain subclasses of harmonic univalent functions with respect to k-symmetric points.** / El-Yagubi, Entisar; Darus, Maslina.

Research output: Contribution to journal › Article

*Information (Japan)*, vol. 18, no. 5, pp. 1509-1519.

}

TY - JOUR

T1 - On certain subclasses of harmonic univalent functions with respect to k-symmetric points

AU - El-Yagubi, Entisar

AU - Darus, Maslina

PY - 2015/5/1

Y1 - 2015/5/1

N2 - The aim of the article is to study a sufficient condition for the classes SH k (m, b, λ1, λ2, δ, α) and CH k (m, b, λ1, λ2, δ, α) which are starlike and convex harmonic univalent functions with respect to k-symmetric, respectively. The necessary condition for f to be in the classes T SH k (m, b, λ1, λ2, δ, α) and T CH k (m, b, λ1, λ2, δ, α) will be studied. In addition, growth bounds for functions in T SH k (m, b, λ1, λ2, δ, α) will also be given.

AB - The aim of the article is to study a sufficient condition for the classes SH k (m, b, λ1, λ2, δ, α) and CH k (m, b, λ1, λ2, δ, α) which are starlike and convex harmonic univalent functions with respect to k-symmetric, respectively. The necessary condition for f to be in the classes T SH k (m, b, λ1, λ2, δ, α) and T CH k (m, b, λ1, λ2, δ, α) will be studied. In addition, growth bounds for functions in T SH k (m, b, λ1, λ2, δ, α) will also be given.

KW - Convex harmonic functions

KW - Derivative operator

KW - Harmonic functions

KW - k-symmetric points

KW - Starlike harmonic functions

KW - Univalent functions

UR - http://www.scopus.com/inward/record.url?scp=84975833247&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84975833247&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84975833247

VL - 18

SP - 1509

EP - 1519

JO - Information (Japan)

JF - Information (Japan)

SN - 1343-4500

IS - 5

ER -