ProductLog

Usage

• ProductLog[z] gives the principal solution for in .
• ProductLog[k, z] gives the solution.

Notes

• 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

. ProductLog[k, z] for integer

has a branch cut discontinuity from

• See also: Log.

• New in Version 3.