Dilogarithm

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In mathematics, the dilogarithm (or Spence's function), denoted as Li2(z), is a particular case of the polylogarithm. Two related special functions are referred to as Spence's function, the dilogarithm itself: Li 2 ⁡ ( z ) = − ∫ 0 z ln ⁡ ( 1 − u ) u d u , z ∈ C {\displaystyle \operatorname {Li} _{2}(z)=-\int _{0}^{z}{\ln(1-u) \over u}\,du{\text{, }}z\in \mathbb {C} } and its reflection. For |z| ≤ 1, an infinite series also applies (the integral definition constitutes its analytical...

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