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

Maslina Darus, and Derek K. Thomas, (2022) 3 proofs of 2 well-known theorems on starlike and convex functions. Journal of Quality Measurement and Analysis, 18 (1). pp. 63-69. ISSN 1823-5670

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Official URL: https://www.ukm.my/jqma/jqma18-1/

Abstract

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.

Item Type:Article
Keywords:Analytic; Univalent; Starlike; Convex; Hankel determinant; Coefficients
Journal:Journal of Quality Measurement and Analysis
ID Code:19451
Deposited By: ms aida -
Deposited On:17 Aug 2022 04:23
Last Modified:19 Aug 2022 01:56

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