SimplifyPolyLog

Description

SimplifyPolyLog[y] performs several simplifications assuming that the variables occuring in the Log and PolyLog functions are between 0 and 1.

See also:  Nielsen.

Examples

sip[y_]  :=  y  ==  SimplifyPolyLog[y]

sip[PolyLog[2, 1/x]]

sip[PolyLog[2, x]]

sip[PolyLog[2, 1 - x^2]]

sip[PolyLog[2, x^2]]

sip[PolyLog[2, -x/(1 - x)]]

sip[PolyLog[2, x/(x - 1)]]

sip[Nielsen[1, 2, -x/(1 - x)]]

sip[PolyLog[3, -1/x]]

sip[PolyLog[3, 1 - x]]

sip[PolyLog[3, x^2]]

sip[PolyLog[3, -x/(1 - x)]]

sip[PolyLog[3, 1 - 1/x]]

sip[PolyLog[4, -x/(1 - x)]]

sip[Log[a + b/c]]

sip[Log[1/x]]

sip[ArcTanh[x]]

sip[ArcSinh[x]]

sip[ArcCosh[x]]

Clear[sip]