Coefficient Conditions for Starlikeness of Nonnegative Order

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

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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.

Item Type: Article
Subjects: Q Science > QA Mathematics > QA1-939 Mathematics
Divisions: Pusat Pengajian Sains Matematik (School of Mathematical Sciences) > Article
Depositing User: Mr Noorazilan Noordin
Date Deposited: 22 Jan 2018 04:17
Last Modified: 22 Jan 2018 04:17

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