Let the nth composition of a function f(x) be denoted ,such th and . Denote the composition of f and g by , and define
Let
and
Then if (i.e., ),
where and composition is done in terms of components.
(1)
Let
(2)
(3)
(4)
and
(5)
(6)
Then if (i.e., ),
(7)
where and composition is done in terms of components.
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