Relationship between Li 2(1),Li 2(-1), and pi
From specialfunctionswiki
Revision as of 00:00, 4 June 2016 by Tom (talk | contribs) (Created page with "==Theorem== The following formula holds: $$2\mathrm{Li}_2(1) = 2\mathrm{Li}_2(-1) + \dfrac{\pi^2}{2},$$ where $\mathrm{Li}_2$ denotes the dilogarithm and $\pi$ denotes p...")
Theorem
The following formula holds: $$2\mathrm{Li}_2(1) = 2\mathrm{Li}_2(-1) + \dfrac{\pi^2}{2},$$ where $\mathrm{Li}_2$ denotes the dilogarithm and $\pi$ denotes pi.
Proof
1926: Leonard Lewin: Polylogarithms and Associated Functions (2nd ed.) ... (previous): (1.8)
