Logarithmic integral function: Difference between revisions

Revision as of 19:03, 21 December 2005

Revision as of 19:06, 21 December 2005

Line 28:

:<math>\hbox{li}(x)=\hbox{Ei}(\ln(x))</math>

which is valid for <math>x\ne > 1</math>. This identity provides a series representation of li(''x'') as

:<math> {\rm li} (e^{u}) = \hbox{Ei}(u) =

Line 34:

\quad {\rm for} \; u \ne 0 \; , </math>

where &gamma; &asymp; 0.57721 56649 01532 ... is the [[Euler-Mascheroni gamma constant]].

==Special values==