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HypergeometricU
HypergeometricU
[
a
,
b
,
z
]
is the confluent hypergeometric function
.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
The function
has the integral representation
.
HypergeometricU
[
a
,
b
,
z
]
has a branch cut discontinuity in the complex
plane running from
to
.
For certain special arguments,
HypergeometricU
automatically evaluates to exact values.
HypergeometricU
can be evaluated to arbitrary numerical precision.
HypergeometricU
automatically threads over lists.
EXAMPLES
CLOSE ALL
Basic Examples
(3)
Evaluate numerically:
In[1]:=
Out[1]=
Plot
:
In[1]:=
Out[1]=
Series expansion at the origin:
In[1]:=
Out[1]=
Scope
(6)
Generalizations & Extensions
(1)
Applications
(2)
Properties & Relations
(2)
Possible Issues
(1)
Neat Examples
(1)
SEE ALSO
Hypergeometric1F1
Hypergeometric0F1
WhittakerW
ParabolicCylinderD
TUTORIALS
Special Functions
RELATED LINKS
MathWorld
The Wolfram Functions Site
MORE ABOUT
Hypergeometric Functions
Special Functions
New in 1
© 2008 Wolfram Research, Inc.
. 
has the integral representation 
. 
plane running from 
to 
.
EXAMPLES
Basic Examples 
Scope 