What's New
About the Project
NIST
8 Incomplete Gamma and Related FunctionsIncomplete Gamma Functions

§8.4 Special Values

For erf(z), erfc(z), and F(z), see §§7.2(i), 7.2(ii). For En(z) see §8.19(i).

8.4.1 γ(12,z2)=20ze-t2dt=πerf(z),
8.4.2 γ*(a,0) =1Γ(a+1),
8.4.3 γ*(12,-z2) =2ez2zπF(z).
8.4.4 Γ(0,z)=zt-1e-tdt=E1(z),
8.4.5 Γ(1,z)=e-z,
8.4.6 Γ(12,z2)=2ze-t2dt=πerfc(z).