Difference between revisions of "Lerch transcendent polylogarithm"

From specialfunctionswiki
Jump to: navigation, search
(Created page with "<div class="toccolours mw-collapsible mw-collapsed"> <strong>Proposition:</strong> The following formula holds: $$\Phi(z,n,1)=\dfrac{\math...")
(No difference)

Revision as of 01:08, 21 March 2015

Proposition: The following formula holds: $$\Phi(z,n,1)=\dfrac{\mathrm{Li}_n(z)}{z},$$ where $\Phi$ denotes the Lerch transcendent and $\mathrm{Li_n}$ denotes the polylogarithm.

Proof: