Let $ D $ be the open unit disc in $ \mathbb{C} $ and $ H(D) $ be the collection of all holomorphic functions on it. Let $$ S= [f\in H(D):f(\frac{1}{2n})=\frac{1}{2n}\forall n\in \mathbb{N}]$$ and $$ T=[f\in H(D):f(\frac{1}{2n})=f(\frac{1}{2n+1})=\frac{1}{2n} \forall n\in \mathbb{N}]$$. Th...
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