ProductLog

ProductLog[z] gives the principal solution for in .

ProductLog[k, z] gives the solution.

Mathematical function (see Section A.3.10).

The solutions are ordered according to their imaginary parts.

For , ProductLog[z] is real.

ProductLog[z] satisfies the differential equation .

ProductLog[z] has a branch cut discontinuity in the complex z plane running from to . ProductLog[k, z] for integer has a branch cut discontinuity from to .

See Section 3.2.10.

See also: Log.

New in Version 3.

Further Examples