Bounds for the second Hankel determinant of certain generalized class of analytic functions
Autor: | Norlyda Mohamed, Aminah Abdul Malek, Nurhanis Abdul Rahman, Nur Hawani Roslan, Zammariyah Mustafa Kamal |
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Rok vydání: | 2019 |
Předmět: | |
Zdroj: | THE 4TH INNOVATION AND ANALYTICS CONFERENCE & EXHIBITION (IACE 2019). |
ISSN: | 0094-243X |
DOI: | 10.1063/1.5121061 |
Popis: | Denote S*(α, β, δ) as the subclass of analytic functions f defined by f(z)=z+∑n=2∞anzn that satisfied Reeiδ{ zf′(z)+αz2f″(z)f(z) }>β in open unit disk, z∈D={z:|z| 0. In this paper, we obtain sharp upper bound for the second Hankel determinant, |a2a4 − a32| for functions belonging to this subclass of functions. |
Databáze: | OpenAIRE |
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