HYPERGEOMETRIC INDEX

HYPERGEOMETRIC _ _ _ _ _ _ _ _ _ _ _ _ operator

The Hypergeometric operator provides simplifications for the generalized hypergeometric functions. The Hypergeometric operator is included in the package specfn2.

syntax:

hypergeometric(<list of parameters>,<list of parameters>, <argument>)

examples:


load specfn2;

hypergeometric ({1/2,1},{3/2},-x^2); 


  atan(x)
  --------
     x


hypergeometric ({},{},z); 

   z
  e

The special case where the length of the first list is equal to 2 and the length of the second list is equal to 1 is often called ``the hypergeometric function'' (notated as 2F1(a1,a2,b;x)).