M. Ali, Rosihan and See, Keong Lee and Subramanian, K. G. and Swaminathan, A.
(2011)
A ThirdOrder Differential Equation and Starlikeness of a Double Integral Operator.
Abstract and Applied Analysis, 2011 (901235).
pp. 110.
ISSN 10853375
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.
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