Some sufficient conditions for biholomorphic convex mappings on

A few biholomorphic convex mappings on the unit ball in Cn for n>1 are known. In this paper, we shall prove some sufficient conditions for biholomorphic convex mappings on Reinhardt domain in Cn. Some results of Roper and Suffridge, Hamada and Kohr on are extended to . From these, we may construct some concrete biholomorphic convex mappings on .