Schwarz--Pick Inequalities for Derivatives of Arbitrary Order
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Abstract. Let Ω and 28; be two simply connected domains in the complex plane C which are not equal to the whole plane C and let λ Ω and λ 28; denote the densities of the Poincare metric in Ω and 28; , respectively. For f: Ω → 28; analytic in Ω , inequalities of the type

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