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absolute value is wrong in this formula; BTW, all of the rest seems to be consistent with A&S |
clarify formula |
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This leads to series expansions of li(''x''), for instance:
:<math> {\rm li} (e^{u}) = \hbox{Ei}(u) =
\gamma + \ln u + \sum_{n=1}^{\infty} {u^{n}\over n \cdot n!} \quad {\rm for} \; u \ne 0 \; , </math> where γ ≈ 0.57721 56649 01532 ... is the [[Euler-Mascheroni gamma constant]]. The function li(''x'') has a single positive zero; it occurs at ''x'' ≈ 1.45136 92348 ...; this number is known as the [[Ramanujan-Soldner constant]].
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