Commuting holomorphic maps of the unit disc

Let f and g be two commuting holomorphic self-maps of the open unit disc $\mathbb{D}$ in the complex plane with a common Wolff point $\tau\in\partial\mathbb{D}$: if these two maps agree at $\tau$ up to the third order, then $f\equiv g$.

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Veröffentlicht in:Ergodic theory and dynamical systems 2004-06, Vol.24 (3), p.945-953
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description Let f and g be two commuting holomorphic self-maps of the open unit disc $\mathbb{D}$ in the complex plane with a common Wolff point $\tau\in\partial\mathbb{D}$: if these two maps agree at $\tau$ up to the third order, then $f\equiv g$.
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title Commuting holomorphic maps of the unit disc
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