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DOCUMENTATION CENTER SEARCH
Mathematica
>
Mathematics and Algorithms
>
Mathematical Functions
>
Special Functions
>
Hypergeometric Functions
>
Built-in
Mathematica
Symbol
Special Functions
Tutorials »
|
WhittakerW
Hypergeometric1F1
HypergeometricU
See Also »
|
Functions Used in Quantum Mechanics
Hypergeometric Functions
New in 6.0: Mathematical Functions
New in 6.0: Mathematics & Algorithms
More About »
WhittakerM
WhittakerM
[
k
,
m
,
z
]
gives the Whittaker function
.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
WhittakerM
is related to the hypergeometric function by
.
vanishes at
for
.
For certain special arguments,
WhittakerM
automatically evaluates to exact values.
WhittakerM
can be evaluated to arbitrary numerical precision.
WhittakerM
automatically threads over lists.
WhittakerM
[
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
WhittakerW
Hypergeometric1F1
HypergeometricU
TUTORIALS
Special Functions
MORE ABOUT
Functions Used in Quantum Mechanics
Hypergeometric Functions
New in 6.0: Mathematical Functions
New in 6.0: Mathematics & Algorithms
New in 6
© 2008 Wolfram Research, Inc.
. 
. 
vanishes at 
for 
. 
plane running from 
to 
. 
:
EXAMPLES
Basic Examples 
Scope 