The sharp estimates of main coefficients for starlike mappings in ℂn.

Let D p 1 , p 2 , ... , p n = { z ∈ C n : ∑ j = 1 n | z j | p j < 1 } , p j > 1 , j = 1 , 2 , ... , n. We mainly establish the sharp estimates of main coefficients of all homogeneous expansions for starlike mappings and starlike mappings of order α on D p 1 , p 2 , ... , p n under some weak restricted conditions. Our derived results are the generalization of the corresponding classical results in one complex variable. [ABSTRACT FROM AUTHOR]