Logarithmic integral function: Difference between revisions

Revision as of 10:42, 14 May 2004

Revision as of 16:45, 24 July 2004

Line 1:

[[sl:logaritemski integral]]

In [[mathematics]], the '''logarithmic integral''' or '''integral logarithm''' li(''x'') is a [[function (mathematics)|non-elementary function]] defined for all positive [[real number]]s ''x''≠ 1 by the [[integral|definite integral]]:

Line 30 ⟶ 28:

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]].

[[sl:logaritemski integral]]