3 proofs of 2 well-known theorems on starlike and convex functions

Let f be analytic in D = {z ∈ C : |z| < 1}, and be given by f(z) = z + P∞ n=2 anzn. We give three different proofs for the well-known sharp bounds for the second Hankel determinant |H2(2)(f)| = |a2a4 − a23 | for starlike and convex functions.

Bibliographic Details
Main Authors: Maslina Darus, Derek K. Thomas
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2022
Online Access:http://journalarticle.ukm.my/19451/1/Paper-6-Maslina.pdf