Hankel determinant for functions starlike and convex with respect to symmetric points

Sakaguchi (1959) introduced the class of functions S*s , starlike with respect to symmetric points. In 1977, Das and Singh introduced similar class of functions Cs , convex with respect to symmetric points. Here, upper bound for the functional |a2a4-a23| is attained for functions f(z)=z+ ∑ anzn...

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Main Authors: Aini Janteng, Suzeini Abdul Halim, Maslina Darus
Format: Article
Published: Penerbit ukm 2006
Online Access:http://journalarticle.ukm.my/1819/
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author Aini Janteng,
Suzeini Abdul Halim,
Maslina Darus,
author_facet Aini Janteng,
Suzeini Abdul Halim,
Maslina Darus,
author_sort Aini Janteng,
building UKM Institutional Repository
collection Online Access
description Sakaguchi (1959) introduced the class of functions S*s , starlike with respect to symmetric points. In 1977, Das and Singh introduced similar class of functions Cs , convex with respect to symmetric points. Here, upper bound for the functional |a2a4-a23| is attained for functions f(z)=z+ ∑ anzn belonging to S*s and Cs . The result obtained is sharp
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format Article
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institution Universiti Kebangasaan Malaysia
institution_category Local University
last_indexed 2025-11-14T23:18:15Z
publishDate 2006
publisher Penerbit ukm
recordtype eprints
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spelling ukm-18192011-06-21T07:03:05Z http://journalarticle.ukm.my/1819/ Hankel determinant for functions starlike and convex with respect to symmetric points Aini Janteng, Suzeini Abdul Halim, Maslina Darus, Sakaguchi (1959) introduced the class of functions S*s , starlike with respect to symmetric points. In 1977, Das and Singh introduced similar class of functions Cs , convex with respect to symmetric points. Here, upper bound for the functional |a2a4-a23| is attained for functions f(z)=z+ ∑ anzn belonging to S*s and Cs . The result obtained is sharp Penerbit ukm 2006-07 Article PeerReviewed Aini Janteng, and Suzeini Abdul Halim, and Maslina Darus, (2006) Hankel determinant for functions starlike and convex with respect to symmetric points. Journal of Quality Measurement and Analysis, 2 (1). pp. 37-43. ISSN 1823-5670 http://www.ukm.my/~ppsmfst/jqma/index.html
spellingShingle Aini Janteng,
Suzeini Abdul Halim,
Maslina Darus,
Hankel determinant for functions starlike and convex with respect to symmetric points
title Hankel determinant for functions starlike and convex with respect to symmetric points
title_full Hankel determinant for functions starlike and convex with respect to symmetric points
title_fullStr Hankel determinant for functions starlike and convex with respect to symmetric points
title_full_unstemmed Hankel determinant for functions starlike and convex with respect to symmetric points
title_short Hankel determinant for functions starlike and convex with respect to symmetric points
title_sort hankel determinant for functions starlike and convex with respect to symmetric points
url http://journalarticle.ukm.my/1819/
http://journalarticle.ukm.my/1819/