Let denote the set of functions analytic in the unit disc with and . P. T. Mocanu has proved that if
then there, where and are between 0 and 1 and are related by a somewhat complicated functional relation. That is, strongly convex of order implies strongly starlike of order . This paper proves the same result with a more complicated functional relationship between and . Unfortunately, numerical calculations appear to indicate that the two sets of relationships give exactly the same pairs to at least ten decimal places. The proof here seems to be different from that of Mocanu.