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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2012
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| Subjects: | |
| Online Access: | http://eprints.usm.my/38458/ http://eprints.usm.my/38458/1/Coefficient_Conditions_for_Starlikeness_of_Nonnegative_Order.pdf |
| _version_ | 1848878475154292736 |
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| 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 |
| building | USM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T17:31:55Z |
| format | Article |
| id | usm-38458 |
| institution | Universiti Sains Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T17:31:55Z |
| publishDate | 2012 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | usm-384582018-01-22T04:17:52Z 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 |
| spellingShingle | QA1-939 Mathematics M. Ali, Rosihan See, Keong Lee R. Mondal, Saiful Coefficient Conditions for Starlikeness of Nonnegative Order |
| title | 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_short | Coefficient Conditions for Starlikeness of Nonnegative Order |
| title_sort | coefficient conditions for starlikeness of nonnegative order |
| topic | QA1-939 Mathematics |
| url | http://eprints.usm.my/38458/ http://eprints.usm.my/38458/ http://eprints.usm.my/38458/1/Coefficient_Conditions_for_Starlikeness_of_Nonnegative_Order.pdf |