PaXDiLog corresponds to DiLog in
Package-X.
(*Just to load Package-X*)
PaXEvaluate[A0[1]];PaXDiLog uses X`DiLog for numerical
evaluations
PaXDiLog[1, 2]\frac{\pi ^2}{6}
X`DiLog[1, 2]\frac{\pi ^2}{6}
The same goes for derivatives and series expansions
D[PaXDiLog[x, \[Alpha]], x]-\frac{\log (1-x+i \alpha \epsilon )}{x}
Series[PaXDiLog[x, \[Alpha]], {x, 0, 5}]x+\frac{x^2}{4}+\frac{x^3}{9}+\frac{x^4}{16}+\frac{x^5}{25}+O\left(x^6\right)