What does the explicit formula means in this sentence?

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I'm reading Classic and Multilinear Harmonic analysis vol.2 - Muscalu, Schlag

In page 134, it says,

$$\int_{\partial B(x,\epsilon)}-F(y-x)\frac{\partial u}{\partial\nu}(y)d\sigma(y)=0$$

can be shown by using explicit formula for F, where F is the fundamental solution for Laplacian in the complex plane given by

$$F(x)=-\frac{1}{2\pi}\log|x|$$

So in here what does it mean by explicit formula? And how can I derive that the show that the above equation is true?

Here $B(x,\epsilon)$ is in bounded Lipschitz domain $U$.