"The section on "Limiting behavior" states several limits, which are (modulo possible typos) found in Wood 1992. While the title (correctly!) frames these as the limiting behavior of the polylogarithm, the text (following Wood) misleadingly presents them as limits of the polylogarithm.
But the polylogarithm either vanishes or diverges in each of these instances. More formally: The text indicates that f(mu,s)->F(mu,s) as mu or s is varied appropriately, when in fact it means that f(mu,s) ~ F(mu,s) i.e. f(mu,s)/F(mu,s)->1 in the appropriate limit. (The only exception is the fifth statement, w…