Fourth Hankel determinant for subclasses of Bounded Starlike Function / Atira Azira Zakri, Nur Naqibah Ali and Nurfatin Fadhilah Zain Karimy

Zakri, Atira Azira and Ali, Nur Naqibah and Zain Karimy, Nurfatin Fadhilah (2019) 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 [Student Project] (Unpublished)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:
CreatorsEmail / ID. Num
Zakri, Atira AziraUNSPECIFIED
Ali, Nur NaqibahUNSPECIFIED
Zain Karimy, Nurfatin FadhilahUNSPECIFIED
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
Item ID: 39374
Uncontrolled Keywords: Fourth Hankel determinant, subclasses, Bounded Starlike Function
URI: http://ir.uitm.edu.my/id/eprint/39374

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