HP49-50G,VER16.2 Lambert Funktion Wk(x), k=k= 0, ±1, ±2, ±3, ±4..., x real or complex

[Gil]

Yes, it's the algorithm that I found with the given reference.

The results found match well with Wolfram Alpha ones, at least for the numerous examples I tested.

Just a mistake: W('k≠0',x=0),
gives error instead of -infinity; will correct it soon.

Another special case W(k=-1,0) = -infinity, and not zero!

But, for the rest I would not guarantee anything... the Mr Maths being you!

But tell me otherwise how to implement a feasible solution for the different k branches.

Wolfram Alpha shows definitions with complex integrals.

Regards and thanks in advance for your insights, Albert.

Gil