Module rgsl::fermi_dirac::incomplete_integrals

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Expand description

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

F_j(x,b) := (1/\Gamma(j+1)) \int_b^\infty dt (t^j / (\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).