BUILT-IN MATHEMATICA SYMBOL

ExpIntegralEi

ExpIntegralEi[z]
gives the exponential integral function .

Details Details

Mathematical function, suitable for both symbolic and numerical manipulation.
, where the principal value of the integral is taken.
ExpIntegralEi[z] has a branch cut discontinuity in the complex z plane running from to .
For certain special arguments, ExpIntegralEi automatically evaluates to exact values.
ExpIntegralEi can be evaluated to arbitrary numerical precision.
ExpIntegralEi automatically threads over lists.

Examples Examples open all close all

Basic Examples (3)Basic Examples (3)

Evaluate numerically:

Out[1]=

Out[1]=

Series expansion around the branch point at the origin:

Out[1]=

Out[2]=

Scope (5)Scope (5)

Generalizations & Extensions (2)Generalizations & Extensions (2)

Applications (2)Applications (2)

Properties & Relations (8)Properties & Relations (8)

Possible Issues (3)Possible Issues (3)

Neat Examples (1)Neat Examples (1)

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See Also See Also

ExpIntegralE Erf LogIntegral SinIntegral CosIntegral

Tutorials Tutorials

Special Functions

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