Functions with operation (multiplication) as argument
Suppose I have functions $f$, $g_1$, $g_2$, $h$ and an operation $*$, which is not necessarily multiplication, satisfying the following relations:
$$ f(X * Y) = g_1(X) g_2(Y) + g_1(Y) g_2(X) + f(X) * f(Y) + h(X * Y) $$
$$ h(X * Y) = h^2(X) * g_1(Y) $$
How to find a symbolic expression for $f(X^7)$?
I don't understand your question;
f(X*Y) = ...does not seem to be valid Python syntax. Could you provide the full code of what you are trying to do?