exponential_integral_1( z )

The numerical exponential integral E1 of z in SageMath. Defined by

\[ E_1 (z) = \int_z^\infty du \: \frac{ e^{ -u } }{ u } \]

Numerical alternative to exp_integral_e1 that uses the PARI library rather than mpmath.

Plot on the real axis:

Series expansion about unity:

Special values:

Related functions:   exp_integral_e1

Function category: exponential integrals sagemath-docs