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Coefficient Conditions for Starlikeness of Nonnegative Order

Sufficient conditions on a sequence {ak} of nonnegative numbers are obtained that ensures f(z)= E°°k=1 akzk is starlike of nonnegative order in the unit disk. A result of Vietoris on trigonometric sums is extended in this pursuit. Conditions for close to convexity and convexity in the direction of...

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Main Authors: M. Ali, Rosihan, See, Keong Lee, R. Mondal, Saiful
Format: Article
Language:English
Published: Hindawi Publishing Corporation 2012
Subjects:
QA1-939 Mathematics
Online Access:http://eprints.usm.my/38458/1/Coefficient_Conditions_for_Starlikeness_of_Nonnegative_Order.pdf
http://eprints.usm.my/38458/
https://doi.org/10.1155/2012/450318
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spelling my.usm.eprints.38458 http://eprints.usm.my/38458/ Coefficient Conditions for Starlikeness of Nonnegative Order M. Ali, Rosihan See, Keong Lee R. Mondal, Saiful QA1-939 Mathematics Sufficient conditions on a sequence {ak} of nonnegative numbers are obtained that ensures f(z)= E°°k=1 akzk is starlike of nonnegative order in the unit disk. A result of Vietoris on trigonometric sums is extended in this pursuit. Conditions for close to convexity and convexity in the direction of the imaginary axis are also established. These results are applied to investigate the starlikeness of functions involving the Gaussian hypergeometric functions. Hindawi Publishing Corporation 2012 Article PeerReviewed application/pdf en http://eprints.usm.my/38458/1/Coefficient_Conditions_for_Starlikeness_of_Nonnegative_Order.pdf M. Ali, Rosihan and See, Keong Lee and R. Mondal, Saiful (2012) Coefficient Conditions for Starlikeness of Nonnegative Order. Abstract and Applied Analysis, 2012 (450318). pp. 1-13. ISSN 1085-3375 https://doi.org/10.1155/2012/450318
institution Universiti Sains Malaysia
building Hamzah Sendut Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Sains Malaysia
content_source USM Institutional Repository
url_provider http://eprints.usm.my/
language English
topic QA1-939 Mathematics
spellingShingle QA1-939 Mathematics
M. Ali, Rosihan
See, Keong Lee
R. Mondal, Saiful
Coefficient Conditions for Starlikeness of Nonnegative Order
description Sufficient conditions on a sequence {ak} of nonnegative numbers are obtained that ensures f(z)= E°°k=1 akzk is starlike of nonnegative order in the unit disk. A result of Vietoris on trigonometric sums is extended in this pursuit. Conditions for close to convexity and convexity in the direction of the imaginary axis are also established. These results are applied to investigate the starlikeness of functions involving the Gaussian hypergeometric functions.
format Article
author M. Ali, Rosihan
See, Keong Lee
R. Mondal, Saiful
author_facet M. Ali, Rosihan
See, Keong Lee
R. Mondal, Saiful
author_sort M. Ali, Rosihan
title Coefficient Conditions for Starlikeness of Nonnegative Order
title_short Coefficient Conditions for Starlikeness of Nonnegative Order
title_full Coefficient Conditions for Starlikeness of Nonnegative Order
title_fullStr Coefficient Conditions for Starlikeness of Nonnegative Order
title_full_unstemmed Coefficient Conditions for Starlikeness of Nonnegative Order
title_sort coefficient conditions for starlikeness of nonnegative order
publisher Hindawi Publishing Corporation
publishDate 2012
url http://eprints.usm.my/38458/1/Coefficient_Conditions_for_Starlikeness_of_Nonnegative_Order.pdf
http://eprints.usm.my/38458/
https://doi.org/10.1155/2012/450318
_version_ 1643709363407290368
score 13.211869

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