ExpIntegralEi

ExpIntegralEi[z]

gives the exponential integral function .

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 0.
  • For certain special arguments, ExpIntegralEi automatically evaluates to exact values.
  • ExpIntegralEi can be evaluated to arbitrary numerical precision.
  • ExpIntegralEi automatically threads over lists.

Examples

open allclose all

Basic Examples  (3)

Evaluate numerically:

In[1]:=
Click for copyable input
Out[1]=
In[1]:=
Click for copyable input
Out[1]=

Series expansion around the branch point at the origin:

In[1]:=
Click for copyable input
Out[1]=
In[2]:=
Click for copyable input
Out[2]=

Scope  (5)

Generalizations & Extensions  (2)

Applications  (2)

Properties & Relations  (10)

Possible Issues  (3)

Neat Examples  (1)

See Also

ExpIntegralE  Erf  LogIntegral  SinIntegral  CosIntegral

Tutorials

Introduced in 1988
(1.0)