Logarithmic integral function: Difference between revisions

Revision as of 18:47, 19 September 2020

Revision as of 18:49, 19 September 2020

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The '''offset logarithmic integral''' or '''Eulerian logarithmic integral''' is defined as

:<math> \operatorname{Li}(x) = \int_2^x \frac{dt}{\ln t} = \operatorname{li}(x) - \operatorname{li}(2) \,. </math>

or, integrally represented

:<math> \operatorname{Li}(x) = \int_2^x \frac{dt}{\ln t} \, </math>

As such, the integral representation has the advantage of avoiding the singularity in the ___domain of integration.