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

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

Input for Li2(a).

b : ndarray

Input for Li2(b).

Returns:
ndarray

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

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