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An absolute estimate of the homogeneous expansions of holomorphic mappings
Let f : → be a holomorphic mapping, where is one of the four classical domains in ރ m×n .We show that, if P = f (0), we havefor Z < 1 3 and ϕ P ∈ Aut such that ϕ P ( P) = 0.This generalizes to higher dimensions …