fd_evaluate

agabpylib.numerical.special.fermidirac.fd_evaluate(nu, eta, theta)

Evaluate the generalized Fermi-Dirac integral.

\[F_\nu(\eta,\theta)=\int_0^\infty \frac{x^\nu(1+\frac{1}{2}\theta x)^{1/2}}{e^{x-\eta}+1}\,dx\]

Parameters:

• nu (float) – Index \(\nu\) of Fermi-Dirac integral, must be a scalar.

• eta (float) – Value(s) of the parameter \(\eta\), can be an array.

• theta (float) – Value of the parameter \(\theta\), must be a scalar.

Returns:

val – Value of the Fermi-Dirac integral.

Return type:

float