Digital Library of Mathematical Functions
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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)=20z-t2t=πerf(z),
8.4.2 γ*(a,0) =1Γ(a+1),
8.4.3 γ*(12,-z2) =2z2zπF(z).
8.4.4 Γ(0,z)=zt-1-tt=E1(z),
8.4.5 Γ(1,z)=-z,
8.4.6 Γ(12,z2)=2z-t2t=πerfc(z).