Given a hypergeometric or generalized hypergeometric function 
, the corresponding regularized
hypergeometric function is defined by
 |
where 
is a gamma function.
Regularized hypergeometric functions are implemented in the Wolfram
Language as the functions Hypergeometric0F1Regularized[b,
z], Hypergeometric1F1Regularized[a,
b, z], Hypergeometric2F1Regularized[a,
b, c, z], and in general, HypergeometricPFQRegularized[
a1,
...ap
, 
b1, ..., bq
, z].
