csnlp.util.math.godfrey_coefficients#

csnlp.util.math.godfrey_coefficients(g, n, scaled=True)[source]#

Computes the coefficients of the Godfrey series for the Lanczos’ approximation of the gamma function.

Parameters:
gint or float

The constant \(g\) in the Lanczos’ approximation.

nint

The number of coefficients to compute.

precint, optional

The precision of the computations for decimal.Decimal, by default 128.

Returns:
array of decimal.Decimal

Returns a 1D array of the coefficients of the Godfrey series. These are instances of decimal.Decimal.

Return type:

ndarray[tuple[Any, ...], dtype[object_]]

Notes

Requires scipy to be installed. For important details, see