Module rgsl::fermi_dirac::incomplete_integrals [] [src]

The incomplete Fermi-Dirac integral F_j(x,b) is given by,

F_j(x,b) := (1/\Gamma(j+1)) \int_b\infty dt (tj / (\Exp(t-x) + 1))

Functions

fermi_dirac_inc_0

This routine computes the incomplete Fermi-Dirac integral with an index of zero, F_0(x,b) = \ln(1 + e{b-x}) - (b-x).

fermi_dirac_inc_0_e

This routine computes the incomplete Fermi-Dirac integral with an index of zero, F_0(x,b) = \ln(1 + e{b-x}) - (b-x).