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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 .
  • See the Mathematica book: Section 3.2.10.
  • See also: Log.

    Further Examples

    This is the derivative.

    In[1]:=

    Out[1]=

    This is the integral.

    In[2]:=

    Out[2]=

    This function satisfies the defining differential equation.

    In[3]:=

    Out[3]=

    This is a series expansion around .

    In[4]:=

    Out[4]=