New in Wolfram Mathematica 6: New Classes of Special Functions  previous | next 
Extended Polygamma Evaluation
Mathematica 6 can now evaluate polygamma functions of arbitrary order.
In[1]:=

Click for copyable input
Plot[Evaluate[Table[Re[PolyGamma[-k, x]], {k, 2, 5}]], {x, -2, 2}, 

 Filling -> Axis]
Out[1]=