li( z )

The logarithmic integral of z in SageMath. Alias of log_integral. Defined by

\[ \operatorname{li} (z) = \int_0^z \frac{ dt }{ \ln(t) } \]

Relation to the exponential integral Ei:

\[ \operatorname{li} (z) = \operatorname{Ei} ( \ln(z) ) \]

Plot on the real axis:

Series expansion about the origin:

Special values:

Related functions:   log_integral   Ei

Function category: exponential integrals sagemath-docs