Li2(z)=zPhi(z,2,1)

Theorem

The following formula holds: $$\mathrm{Li}_2(z)=z\Phi(z,2,1),$$ where $\mathrm{Li}_2$ denotes the dilogarithm and $\Phi$ denotes the Lerch transcendent.

References

• 1953: Harry Bateman: Higher Transcendental Functions Volume I ... (previous) ... (next): $\S 1.11.1 (22)$