I need a descriptive name for these two functions, for a program's interface ; and I'm having trouble describing them properly. I'm looking either for an established conventional name, or a good suggestion for one.
Let $E$ be a list of $n$ numbers $\in \mathbb{R}$, let x $\in \mathbb{R}$ :
$f(x, E) = x\left(1 +\sum{E}\right)$
$g(x, E) = x(1 + E_1) \cdots (1 + E_n)$
I'm sure there's a simple way to describe them, but everything I have tried so far comes up short. My best guess is currently "Additive Product Addition" for $f$ and "Multiplicative product addition" for $g$ : In each case, we add the product of the elements of $E$ and $x$ to $x$, $f$ stacking additively, $g$ stacking multiplicatively.