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

M. Ali, Rosihan and See, Keong Lee and Subramanian, K. G. and Swaminathan, A. (2011) A Third-Order Differential Equation and Starlikeness of a Double Integral Operator. Abstract and Applied Analysis, 2011 (901235). pp. 1-10. ISSN 1085-3375

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Abstract

Functions f(z)= z+E°2 anzn that are analytic in the unit disk and satisfy the differential equation f'(z) + azf"(z)+yz2f"(z) = g(z) are considered, where g is subordinated to a normalized convex univalent function h. These functions f are given by a double integral operator of the form f(z) = (10(10G(ztμsν�t−μs−νds dt with G" subordinated to h. 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 h.

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:	04 Jan 2018 06:18
Last Modified:	04 Jan 2018 06:18
URI:	http://eprints.usm.my/id/eprint/38219

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