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