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
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