Formal dwellings on Elliptic functions

Generalization of Laplace transform

$$F(s) =\int \frac{f(t)}{e^{st}\pm1} \, dt$$  

$$c_{g(n)}=\frac{1}{2\pi}\int_{-\pi}^{\pi}f(x)e^{-ig(n)x}dx$$

$$\begin{cases}x=\rho\cm u\sm v,\\y=\rho\sm u \sm v, \\z=r\cm v\end{cases}$$