PRODUCTS
PURCHASE
FOR USERS
COMPANY
OUR SITES
DOCUMENTATION CENTER SEARCH
Mathematica
>
Error and Exponential Integral Functions
>
Built-in
Mathematica
Symbol
Special Functions
Tutorials »
|
ExpIntegralE
Erf
LogIntegral
SinIntegral
CosIntegral
See Also »
|
Error and Exponential Integral Functions
Special Functions
More About »
ExpIntegralEi
ExpIntegralEi
[
z
]
gives the exponential integral function
.
MORE INFORMATION
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
CLOSE ALL
Basic Examples
(3)
Evaluate numerically:
In[1]:=
Out[1]=
In[1]:=
Out[1]=
Series expansion around the branch point at the origin:
In[1]:=
Out[1]=
In[2]:=
Out[2]=
Scope
(5)
Generalizations & Extensions
(2)
Applications
(2)
Properties & Relations
(8)
Possible Issues
(3)
Neat Examples
(1)
SEE ALSO
ExpIntegralE
Erf
LogIntegral
SinIntegral
CosIntegral
TUTORIALS
Special Functions
RELATED LINKS
MathWorld
The Wolfram Functions Site
NKS|Online
(
A New Kind of Science
)
MORE ABOUT
Error and Exponential Integral Functions
Special Functions
New in 1
© 2008 Wolfram Research, Inc.
. 
, where the principal value of the integral is taken. 
to 0.
EXAMPLES
Basic Examples 
Scope 