SciPy

darkhistory.utilities.spence_series_diff

darkhistory.utilities.spence_series_diff(b, a)

Returns the Taylor series for Li2(b) - Li2(a).

Li2 is the polylogarithm function defined by

\[\begin{split}\\text{Li}_2(z) \\equiv \\sum_{k=1}^\\infty \\frac{z^k}{k^2} \\,.\end{split}\]
Parameters:
andarray

Input for Li2(a).

bndarray

Input for Li2(b).

Returns:
ndarray

The Taylor series Li2(b) - Li2(a), up to the 11th order term.