Definition:Logarithmic Integral/Eulerian

Definition
The Eulerian logarithmic integral is defined as:


 * $\displaystyle \operatorname {Li} \left({x}\right) = \int_2^x \frac {\mathrm d t}{\ln \left({t}\right)}$

where $\ln$ denotes the natural logarithm function.

Also defined as
The logarithmic integral and the Eulerian logarithmic integral are not consistently denoted in the literature (some sources use $\operatorname {li} \left({x}\right)$ to indicate the Eulerian version, for example).

It is therefore important to take care which is being referred to at any point.

Also known as
The Eulerian logarithmic integral is also known as the offset logarithmic integral.