A Third-Order Differential Equation and Starlikeness of a Double Integral Operator

Rosihan M. Ali, See Keong Lee, K. G. Subramanian and A. Swaminathan

Abstract and Applied Analysis, 2011, vol. 2011, 1-10

Abstract:

Functions that are analytic in the unit disk and satisfy the differential equation are considered, where is subordinated to a normalized convex univalent function . These functions are given by a double integral operator of the form with subordinated to . The best dominant to all solutions of the differential equation is obtained. Starlikeness properties and various sharp estimates of these solutions are investigated for particular cases of the convex function .

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:901235

DOI: 10.1155/2011/901235

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