Symbols:L/Logarithmic Integral

Logarithmic Integral

$\map \li x$

Let $x \in \R_{>0}$ be a (strictly) positive real number.

The logarithmic integral of $x$ is defined as:

$\ds \map \li x = \PV_0^x \frac {\d t} {\ln t}$

where:

$\ln$ denotes the natural logarithm function

$\PV$ denotes the Cauchy principal value.

The $\LaTeX$ code for \(\map \li x\) is \map \li x .

Sources

• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): $\map \Li x$, $\map \li x$