exp_integral_e1( z )

The exponential integral E1 of z in SageMath. Defined by

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

Relation to exp_integral_ei for x > 0 :

\[ E_1 (x) = - \operatorname{Ei}(-x) \]

Alias of exp_integral_e( 1 , z ).

Plot on the real axis:

Series expansion about unity:

Special values:

Related functions:   exp_integral_e   exp_integral_ei

Function category: exponential integrals sagemath-docs