Fourth Hankel determinant for subclasses of Bounded Starlike Function / Atira Azira Zakri, Nur Naqibah Ali and Nurfatin Fadhilah Zain Karimy
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 functio...
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| Main Authors: | , , |
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| Format: | Student Project |
| Language: | English |
| Published: |
2019
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| Subjects: | |
| Online Access: | http://ir.uitm.edu.my/id/eprint/39374/1/39374.pdf http://ir.uitm.edu.my/id/eprint/39374/ |
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| Summary: | 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. |
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