8 Incomplete Gamma and Related FunctionsApplications8.23 Statistical Applications8.25 Methods of Computation

- §8.24(i) Incomplete Gamma Functions
- §8.24(ii) Incomplete Beta Functions
- §8.24(iii) Generalized Exponential Integral

The function $\gamma \left(a,x\right)$ appears in: discussions of power-law relaxation times in complex physical systems (Sornette (1998)); logarithmic oscillations in relaxation times for proteins (Metzler et al. (1999)); Gaussian orbitals and exponential (Slater) orbitals in quantum chemistry (Shavitt (1963), Shavitt and Karplus (1965)); population biology and ecological systems (Camacho et al. (2002)).