On the Normality of Derivatives of Functions, II

In answer to the author's question in the original paper of the same title, it is proved that given a set E of positive integers there exists a bounded analytic function G ( z ) in the unit disc such that the k ‐th derivative G ( k ) ( z ) is a normal function if and only if k ∉ E . Also, an example of a univalent function is given for which the integral is not a normal function. This example leads to an explicit example of a non‐normal locally uniformly univalent function.