Abstract:

In this article, the authors obtain an inequality of homogeneous expansion
for f, where f is a quasi-convex mapping (including quasi-convex mapping of type A and quasi-convex mapping of type B) defined on the open unit polydisk in Cⁿ. Meanwhile, the authors also investigate its application.

Key words: Biholomorphic mapping, quasi-convex mapping, inequality of homogeneous
expansion