lambertw, all branches

[Albert Chan]

(01-25-2024 05:14 PM)Gil Wrote:  Thanks, but what about the results given by Wolfram?

I ask, because I never used your flip trick for k a negative integer.

Wolfram's answer is correct.
Why would you expect W_-1(-1E-330) == W₊₁(-1E-330) ?

x + ln(x) = ln(a) + 2*k*pi*I

With k = ±1, same a, RHS have difference of 4*pi*I ! Of course solved x is different.

I already explained why flip trick don't work in this case (see my previous post)