Gamma Function diffrent results from Prime / Wolfram

[c0manche]

(03-12-2018 04:45 PM)Joe Horn Wrote:  When you say Gamma(1/3,-216) do you really mean Gamma((1/3,-216))? They are different (look at the parentheses). The first is Gamma with two real arguments (not sure what that means mathematically), and the second is Gamma with one complex argument, same as Gamma(1/3-216*i).

Observations: In Home, Gamma with two real arguments returns a result. Anybody know what it means? The built-in Help system doesn't mention that Gamma allows more than one argument. It also says that only real arguments are allowed, but complex arguments don't cause an error. Hmmm.

Afaik Gamma(x,y) is the incomplete gamma function but currently is not documented in the built in documentation
if you Integrate(e^x^3,x,0,6) you will get an answer based on the incomplete gamma function in CAS mode