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DOCUMENTATION CENTER SEARCH
Mathematica
>
Mathematics and Algorithms
>
Mathematical Functions
>
Special Functions
>
Hypergeometric Functions
>
Built-in
Mathematica
Symbol
Special Functions
Tutorials »
|
HypergeometricU
Hypergeometric2F1
HypergeometricPFQ
Hypergeometric1F1Regularized
WhittakerM
Pochhammer
Gamma
GammaRegularized
ExpIntegralE
See Also »
|
Functions Used in Quantum Mechanics
Functions Used in Statistics
Hypergeometric Functions
More About »
Hypergeometric1F1
Hypergeometric1F1
[
a
,
b
,
z
]
is the Kummer confluent hypergeometric function
.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
The
function has the series expansion
.
For certain special arguments,
Hypergeometric1F1
automatically evaluates to exact values.
Hypergeometric1F1
can be evaluated to arbitrary numerical precision.
Hypergeometric1F1
automatically threads over lists.
EXAMPLES
CLOSE ALL
Basic Examples
(3)
Evaluate numerically:
In[1]:=
Out[1]=
Plot
:
In[1]:=
Out[1]=
Series at the origin:
In[1]:=
Out[1]=
Scope
(6)
Generalizations & Extensions
(2)
Applications
(2)
Properties & Relations
(2)
SEE ALSO
HypergeometricU
Hypergeometric2F1
HypergeometricPFQ
Hypergeometric1F1Regularized
WhittakerM
Pochhammer
Gamma
GammaRegularized
ExpIntegralE
TUTORIALS
Special Functions
RELATED LINKS
MathWorld
The Wolfram Functions Site
NKS|Online
(
A New Kind of Science
)
MORE ABOUT
Functions Used in Quantum Mechanics
Functions Used in Statistics
Hypergeometric Functions
New in 1
. 
function has the series expansion 
.
EXAMPLES
Basic Examples 
Scope 