  An infinite continued composition is an expression of the form
\begin{equation*} \lim_{n\to\infty}t_0\circ t_1 \circ t_2 \circ \cdots \circ
t_n(c)\;, \end{equation*} where the $t_i$ are maps from a set $D$ to itself,
the initial value $c$ is a point in $D$, and the order of operations proceeds
from right to left.
  This document is a bibliography, in chronological order through the year
2016, of selected continued compositions whose primary sources have typically
been obscure. In particular, we include continued square roots:
\begin{equation*} a_0+\sqrt{a_1+\sqrt{a_2+\sqrt{\ldots}}}\;, \end{equation*} as
well as continued powers, continued cotangents, continued logarithms, and
$f$-expansions. However, we do not include continued fractions, continued
exponentials, or forms such as infinite sums and products in which the $t_i$
are linear functions, because the literature on these forms is extensive.
