  Applying the subordination principle for analytic functions in the open unit
disk U, I. H. Kim and N. E. Cho (Comput. Math. Appl. 59(2010), 2067-2073)
considered some sufficient conditions for Carath\'eodory functions. The purpose
of this paper is to discuss some sufficient conditions for the class of
strongly Carath\'eodory functions in U.
