### Abstract

The aim of this paper is to obtain an upper bound to the H3(p) Hankel determinant for certain subclass of p-valent functions. To do so, we obtain best possible bounds for the functionals jap+3 - ap+1ap+2j and ap+2 - a2 p+1 , then using known upper bound for the functional ap+1ap+3 -a2 p+2 we obtain the required sharp upper bound to the H3(p) Hankel determinant.

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

Pages (from-to) | 611-618 |

Number of pages | 8 |

Journal | Italian Journal of Pure and Applied Mathematics |

Issue number | 37 |

Publication status | Published - 1 Jan 2017 |

### Fingerprint

### Keywords

- Analytic function
- Hankel determinant
- P-valent function
- Upper bound

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Italian Journal of Pure and Applied Mathematics*, (37), 611-618.

**On H3(p) hankel determinant for certain subclass of p-valent functions.** / Amourah, A. A.; Yousef, Feras; Al-Hawary, Tariq; Darus, Maslina.

Research output: Contribution to journal › Article

*Italian Journal of Pure and Applied Mathematics*, no. 37, pp. 611-618.

}

TY - JOUR

T1 - On H3(p) hankel determinant for certain subclass of p-valent functions

AU - Amourah, A. A.

AU - Yousef, Feras

AU - Al-Hawary, Tariq

AU - Darus, Maslina

PY - 2017/1/1

Y1 - 2017/1/1

N2 - The aim of this paper is to obtain an upper bound to the H3(p) Hankel determinant for certain subclass of p-valent functions. To do so, we obtain best possible bounds for the functionals jap+3 - ap+1ap+2j and ap+2 - a2 p+1 , then using known upper bound for the functional ap+1ap+3 -a2 p+2 we obtain the required sharp upper bound to the H3(p) Hankel determinant.

AB - The aim of this paper is to obtain an upper bound to the H3(p) Hankel determinant for certain subclass of p-valent functions. To do so, we obtain best possible bounds for the functionals jap+3 - ap+1ap+2j and ap+2 - a2 p+1 , then using known upper bound for the functional ap+1ap+3 -a2 p+2 we obtain the required sharp upper bound to the H3(p) Hankel determinant.

KW - Analytic function

KW - Hankel determinant

KW - P-valent function

KW - Upper bound

UR - http://www.scopus.com/inward/record.url?scp=85026625214&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85026625214&partnerID=8YFLogxK

M3 - Article

SP - 611

EP - 618

JO - Italian Journal of Pure and Applied Mathematics

JF - Italian Journal of Pure and Applied Mathematics

SN - 1126-8042

IS - 37

ER -