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DOCUMENTATION CENTER SEARCH
Mathematica
>
Mathematics and Algorithms
>
Mathematical Functions
>
Special Functions
>
Hypergeometric Functions
>
Built-in
Mathematica
Symbol
Special Functions
Tutorials »
|
WhittakerM
ParabolicCylinderD
HypergeometricU
Hypergeometric1F1
See Also »
|
Hypergeometric Functions
New in 6.0: Mathematical Functions
More About »
WhittakerW
WhittakerW
[
k
,
m
,
z
]
gives the Whittaker function
.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
WhittakerW
is related to the confluent hypergeometric function by
.
is infinite at
for integer
.
For certain special arguments,
WhittakerW
automatically evaluates to exact values.
WhittakerW
can be evaluated to arbitrary numerical precision.
WhittakerW
automatically threads over lists.
WhittakerW
[
k
,
m
,
z
]
has a branch cut discontinuity in the complex
plane running from
to
.
EXAMPLES
CLOSE ALL
Basic Examples
(3)
Evaluate numerically:
In[1]:=
Out[1]=
Plot
:
In[1]:=
Out[1]=
Use
FunctionExpand
to expand in terms of hypergeometric functions:
In[1]:=
Out[1]=
Scope
(7)
Applications
(1)
Properties & Relations
(2)
SEE ALSO
WhittakerM
ParabolicCylinderD
HypergeometricU
Hypergeometric1F1
TUTORIALS
Special Functions
MORE ABOUT
Hypergeometric Functions
New in 6.0: Mathematical Functions
New in 6