For
and
,
(1)
| |||
(2)
| |||
(3)
|
where
is the Pochhammer symbol and
is the beta function.
Weisstein, Eric W. "Eulerian Integral of the Second Kind." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/EulerianIntegraloftheSecondKind.html