Let $(S_n)_{n \ge 1}$ be a sequence of sets of complex numbers, none of which have a finite
limit point. Does there exist an entire transcendental function $f(z)$ such that, for all $n \ge 1$, there
exists some $k_n \ge 0$ such that
$$
f^{(k_n)}(z) = 0 \quad \text{for all } z \in S_n?
$$
Solved in the affirmative by Barth and Schneider [BaSc72].
[BaSc72] Barth, K. F. and Schneider, W. J., _On a problem of Erdős concerning the zeros of_
_the derivatives of an entire function_. Proc. Amer. Math. Soc. (1972), 229--232.
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