Let $f:\mathbb{C}\to\mathbb{C}$ be an entire function with zero set $X\subset \mathbb{C}$. Jensen's formula reads $$ \log(|f(0)|)+\int_0^R\frac{|X\cap B_t(0)|}{t}dt = \frac{1}{2\pi}\int_0^{2\pi}\log(|f(Re^{i\theta})|)d\theta, $$ where $B_t(0)$ denote the ball of radius $t$ around $0$. This formula for instance allows to bound the density of $X$ in terms of growth of $f$.

My question is: does there exist a similar multivariate generalization to $\mathbb{C}^n$?