Abstract
In the same spirit of the classical Leau-Fatou flower theorem, we prove the existence of a petal, with vertex at the Wolff point, for a holomorphic self-map f of the open unit disc Δ ⊂ ℂ of parabolic type. The result is obtained in the framework of two interesting dynamical situations which require different kinds of regularity of f at the Wolff point τ: f of non-automorphism type and $$\Re e(f''(\tau )) > 0$$ or f injective of automorphism type, f∈C 3+ɛ(τ) and $$\Re e(f''(\tau )) = 0$$ .
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