*Fourth Hankel determinant for subclasses of Bounded Starlike Function / Atira Azira Zakri, Nur Naqibah Ali and Nurfatin Fadhilah Zain Karimy.*[Student Project] (Unpublished)

## Abstract

Let B denoted the class of functions f ( z) which are analytic with an open unit disc

E = {z: z ϵR andlzl < l} and satisfy Re{ af'(z) + ,Bzf "(z )} > 0 for some O < α ≤ 1 and O ≤ β < 1 where f

( z) is a normalized starlike function. One of the properties of class of function B can be determined by finding fourth Hankel determinant for this class of function. In order to find fourth Hankel determinant, there are a few steps will be used. The extreme function must be first determined for the function of a certain class in order to study the properties. Next, compare the coefficients of like powers of z, z2, z3 and z4 between left hand side and right-hand side of function. Then, we obtain coefficient in terms of an and substitute the value of the coefficient in the functional.

## Metadata

Item Type: | Student Project |
---|---|

Creators: | Creators Email / ID Num. Zakri, Atira Azira UNSPECIFIED Ali, Nur Naqibah UNSPECIFIED Zain Karimy, Nurfatin Fadhilah UNSPECIFIED |

Subjects: | Q Science > QA Mathematics > Study and teaching Q Science > QA Mathematics > Mathematical statistics. Probabilities Q Science > QA Mathematics > Analysis > Analytical methods used in the solution of physical problems |

Divisions: | Universiti Teknologi MARA, Negeri Sembilan > Seremban Campus > Faculty of Computer and Mathematical Sciences |

Programme: | Bachelor of Science (Hons.) Mathematics |

Keywords: | Fourth Hankel determinant, subclasses, Bounded Starlike Function |

Date: | 2019 |

URI: | https://ir.uitm.edu.my/id/eprint/39374 |

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