On the second Hankel determinant of some analytic functions

Let the function f be analytic in zD  z : z 1 and be given by   2 n . n n f z z az      For 0   1, denote by V   and U  , the sets of functions analytic in D, satisfying         '' Re 1 ' 1 0 ' zf z f z f z             ...

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Main Authors:	Thomas, D. K., Verma, Sarika
Format:	Article
Language:	English
Published:	Penerbit Universiti Kebangsaan Malaysia 2015
Online Access:	http://journalarticle.ukm.my/9732/1/jqma-11-2-paper2.pdf

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author	Thomas, D. K. Verma, Sarika
author_facet	Thomas, D. K. Verma, Sarika
author_sort	Thomas, D. K.
collection	UKM
description	Let the function f be analytic in zD  z : z 1 and be given by   2 n . n n f z z az      For 0   1, denote by V   and U  , the sets of functions analytic in D, satisfying         '' Re 1 ' 1 0 ' zf z f z f z                   and         ' Re 1 0 f z zf z z fz            respectively, so that f V   zf 'U  . We give sharp bounds for the Hankel determinant 2 2 2 4 3 H  a a  a for f V   and f U  .
first_indexed	2024-03-06T04:12:21Z
format	Article
id	ukm.eprints-9732
institution	Universiti Kebangsaan Malaysia
language	English
last_indexed	2024-03-06T04:12:21Z
publishDate	2015
publisher	Penerbit Universiti Kebangsaan Malaysia
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spelling	ukm.eprints-97322016-12-14T06:50:40Z http://journalarticle.ukm.my/9732/ On the second Hankel determinant of some analytic functions Thomas, D. K. Verma, Sarika Let the function f be analytic in zD  z : z 1 and be given by   2 n . n n f z z az      For 0   1, denote by V   and U  , the sets of functions analytic in D, satisfying         '' Re 1 ' 1 0 ' zf z f z f z                   and         ' Re 1 0 f z zf z z fz            respectively, so that f V   zf 'U  . We give sharp bounds for the Hankel determinant 2 2 2 4 3 H  a a  a for f V   and f U  . Penerbit Universiti Kebangsaan Malaysia 2015-12 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/9732/1/jqma-11-2-paper2.pdf Thomas, D. K. and Verma, Sarika (2015) On the second Hankel determinant of some analytic functions. Journal of Quality Measurement and Analysis, 11 (2). pp. 11-16. ISSN 1823-5670 http://www.ukm.my/jqma/jqma11_2a.html
spellingShingle	Thomas, D. K. Verma, Sarika On the second Hankel determinant of some analytic functions
title	On the second Hankel determinant of some analytic functions
title_full	On the second Hankel determinant of some analytic functions
title_fullStr	On the second Hankel determinant of some analytic functions
title_full_unstemmed	On the second Hankel determinant of some analytic functions
title_short	On the second Hankel determinant of some analytic functions
title_sort	on the second hankel determinant of some analytic functions
url	http://journalarticle.ukm.my/9732/1/jqma-11-2-paper2.pdf
work_keys_str_mv	AT thomasdk onthesecondhankeldeterminantofsomeanalyticfunctions AT vermasarika onthesecondhankeldeterminantofsomeanalyticfunctions

On the second Hankel determinant of some analytic functions

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