Department of Mathematics, Kinki University, Higashi-Osaka, Osaka 577-8502, Japan
Copyright © 2009 Kazuo Kuroki and Shigeyoshi Owa. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Double integral operators which were considered by S. S. Miller and P. T. Mocanu
(Integral Transform. Spec. Funct. 19(2008), 591–597) are discussed. In order to show the analytic function is starlike of order in the open unit disk , the theory of differential subordinations for analytic functions is applied. The object of
the present paper is to discuss some interesting conditions for to be starlike
of order in concerned with second-order differential inequalities and double