When I solve in wolfram equation like this $xe^x=z$ they give me the solution $x=W_n(z)$
I know about $x=W_0(z) $ and $x=W_{1}(z)$ but for $n$ I searched in the internet but I didn't find anything can give me an expression about $x=W_n(z)$
Please can anyone help me and give me an explain $x=W_n(z)$ and give me an example how we can find $x=W_n(t)$ $t\in C$ or $t\in R$
All that, and much more, is here:
Corless, R.M.; Gonnet, G.H.; Hare, D.E.G.; Jeffrey, D.J.; and Knuth, D.E. "On the Lambert W Function." Advances in Computational Mathematics, Vol. 5, (1996): 329-359.