L-series

If Li_2(x) denotes the usual dilogarithm, then there are two variants that are normalized slightly differently, both called the Rogers L-function. Bytsko defines L(x) | = | 6/π^2[Li_2(x) + 1/2 ln x ln(1 - x)] | = | 6/π^2[ sum_(n = 1)^∞ x^n/n^2 + 1/2 ln x ln(1 - x)], (which he calls "the" dilogarithm), while Gordon and McIntosh and Loxton define the Rogers L-function as

Abel's duplication formula | Abel's functional equation | dilogarithm | inverse tangent integral | L-algebraic number | Landen's identity | Spence's function | Spence's integral | Watson's identities