• → PolyLog

LerchPhi

Lerch transcendent (WMA)

LerchPhi[z,s,a]

gives the Lerch transcendent $\Phi(z,s,a)$.

• • LerchPhi[2, 3, -1.5]

• • LerchPhi[1, 2, 1/4] == 8 Catalan + Pi^2

Plot between between -1 and 1:

• • Plot[LerchPhi[x, 1, 2], {x, -1, 1}]