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

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.

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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 http://journalarticle.ukm.my/19451/ https://www.ukm.my/jqma/jqma18-1/
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id	my-ukm.journal.19451
record_format	eprints
spelling	my-ukm.journal.194512022-08-19T01:56:40Z http://journalarticle.ukm.my/19451/ 3 proofs of 2 well-known theorems on starlike and convex functions Maslina Darus, Derek K. Thomas, 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. Penerbit Universiti Kebangsaan Malaysia 2022 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/19451/1/Paper-6-Maslina.pdf 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 https://www.ukm.my/jqma/jqma18-1/
institution	Universiti Kebangsaan Malaysia
building	Tun Sri Lanang Library
collection	Institutional Repository
continent	Asia
country	Malaysia
content_provider	Universiti Kebangsaan Malaysia
content_source	UKM Journal Article Repository
url_provider	http://journalarticle.ukm.my/
language	English
description	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.
format	Article
author	Maslina Darus, Derek K. Thomas,
spellingShingle	Maslina Darus, Derek K. Thomas, 3 proofs of 2 well-known theorems on starlike and convex functions
author_facet	Maslina Darus, Derek K. Thomas,
author_sort	Maslina Darus,
title	3 proofs of 2 well-known theorems on starlike and convex functions
title_short	3 proofs of 2 well-known theorems on starlike and convex functions
title_full	3 proofs of 2 well-known theorems on starlike and convex functions
title_fullStr	3 proofs of 2 well-known theorems on starlike and convex functions
title_full_unstemmed	3 proofs of 2 well-known theorems on starlike and convex functions
title_sort	3 proofs of 2 well-known theorems on starlike and convex functions
publisher	Penerbit Universiti Kebangsaan Malaysia
publishDate	2022
url	http://journalarticle.ukm.my/19451/1/Paper-6-Maslina.pdf http://journalarticle.ukm.my/19451/ https://www.ukm.my/jqma/jqma18-1/
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score	13.211869

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

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