Estimate on the second Hankel functional for functions whose derivative has a positive real part

Denote to be the class of functions which are analytic, normalised and univalent in the open unit disc D-{z:|z|<1}. Also denote to represent the subclass of S whose derivative has a positive real part. Next, write f (z)-z+∑ a z where a is a complex constant and denote the qth Hankel determinant f...

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Main Authors:	Aini Janteng, Suzeini Abdul Halim, Maslina Darus
Format:	Article
Language:	English
Published:	Penerbit ukm 2008
Online Access:	http://journalarticle.ukm.my/1866/ http://journalarticle.ukm.my/1866/ http://journalarticle.ukm.my/1866/1/JQMA4%281%29-17-aini-drk.pdf

id	ukm-1866
recordtype	eprints
spelling	ukm-18662016-12-14T06:30:21Z http://journalarticle.ukm.my/1866/ Estimate on the second Hankel functional for functions whose derivative has a positive real part Aini Janteng, Suzeini Abdul Halim, Maslina Darus, Denote to be the class of functions which are analytic, normalised and univalent in the open unit disc D-{z:\|z\|<1}. Also denote to represent the subclass of S whose derivative has a positive real part. Next, write f (z)-z+∑ a z where a is a complex constant and denote the qth Hankel determinant for f as H(n) for q>1,n>1. Our intention is to seek sharp upper bounds for H(n), however, we begin by first looking at H(2). In this paper, we give the upper bound for the second Hankel determinant for this particular class of functions. Penerbit ukm 2008-07 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/1866/1/JQMA4%281%29-17-aini-drk.pdf Aini Janteng, and Suzeini Abdul Halim, and Maslina Darus, (2008) Estimate on the second Hankel functional for functions whose derivative has a positive real part. Journal of Quality Measurement and Analysis, 4 (1). pp. 189-195. ISSN 1823-5670 http://www.ukm.my/~ppsmfst/jqma/index.html
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Kebangasaan Malaysia
building	UKM Institutional Repository
collection	Online Access
language	English
description	Denote to be the class of functions which are analytic, normalised and univalent in the open unit disc D-{z:\|z\|<1}. Also denote to represent the subclass of S whose derivative has a positive real part. Next, write f (z)-z+∑ a z where a is a complex constant and denote the qth Hankel determinant for f as H(n) for q>1,n>1. Our intention is to seek sharp upper bounds for H(n), however, we begin by first looking at H(2). In this paper, we give the upper bound for the second Hankel determinant for this particular class of functions.
format	Article
author	Aini Janteng, Suzeini Abdul Halim, Maslina Darus,
spellingShingle	Aini Janteng, Suzeini Abdul Halim, Maslina Darus, Estimate on the second Hankel functional for functions whose derivative has a positive real part
author_facet	Aini Janteng, Suzeini Abdul Halim, Maslina Darus,
author_sort	Aini Janteng,
title	Estimate on the second Hankel functional for functions whose derivative has a positive real part
title_short	Estimate on the second Hankel functional for functions whose derivative has a positive real part
title_full	Estimate on the second Hankel functional for functions whose derivative has a positive real part
title_fullStr	Estimate on the second Hankel functional for functions whose derivative has a positive real part
title_full_unstemmed	Estimate on the second Hankel functional for functions whose derivative has a positive real part
title_sort	estimate on the second hankel functional for functions whose derivative has a positive real part
publisher	Penerbit ukm
publishDate	2008
url	http://journalarticle.ukm.my/1866/ http://journalarticle.ukm.my/1866/ http://journalarticle.ukm.my/1866/1/JQMA4%281%29-17-aini-drk.pdf
first_indexed	2023-09-18T19:34:32Z
last_indexed	2023-09-18T19:34:32Z
_version_	1777405182855872512

Estimate on the second Hankel functional for functions whose derivative has a positive real part

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