Let
and
be two integer-valued functions defined on the set of all integers such that
(a)
for all integers
and
(b)
is a polynomial function with integer coefficients and g(n) =
%V0
Let $f$ and $g$ be two integer-valued functions defined on the set of all integers such that
(a) $f(m + f(f(n))) = -f(f(m+ 1) - n$ for all integers $m$ and $n;$
(b) $g$ is a polynomial function with integer coefficients and g(n) = $g(f(n))$ $\forall n \in \mathbb{Z}.$
Školjka