Sharp bounds of some coefficient functionals over the class of functions convex in one direction

We find sharp estimates of the Hankel determinant H2,2 and Zalcman functional J2,3 over the class CV of analytic functions f normalised such that Re (1−z)2f’(z)>0for U={z∈C:|z|0 in the class R(α)

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Bibliographic Details
Main Authors: Gurusamy, P., Raj, A. Edwin, Sivasubramanian, S., Jayasankar, R.
Format: Conference Proceeding
Language:English
Subjects:
Analytic functions
Functionals
Mathematical analysis
Online Access:Get full text
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Summary:We find sharp estimates of the Hankel determinant H2,2 and Zalcman functional J2,3 over the class CV of analytic functions f normalised such that Re (1−z)2f’(z)>0for U={z∈C:|z|0 in the class R(α)
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0149373