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AppellF1
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Hypergeometric2F1
Hypergeometric2F1
[
a
,
b
,
c
,
z
]
is the hypergeometric function
.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
The
function has the series expansion
.
For certain special arguments,
Hypergeometric2F1
automatically evaluates to exact values.
Hypergeometric2F1
can be evaluated to arbitrary numerical precision.
Hypergeometric2F1
automatically threads over lists.
Hypergeometric2F1
[
a
,
b
,
c
,
z
]
has a branch cut discontinuity in the complex
plane running from
to
.
FullSimplify
and
FunctionExpand
include transformation rules for
Hypergeometric2F1
.
EXAMPLES
CLOSE ALL
Basic Examples
(4)
Evaluate numerically:
In[1]:=
Out[1]=
Evaluate symbolically:
In[1]:=
Out[1]=
Plot
:
In[1]:=
Out[1]=
Expand
Hypergeometric2F1
in a Taylor series at the origin:
In[1]:=
Out[1]=
Scope
(8)
Generalizations & Extensions
(2)
Applications
(1)
Properties & Relations
(2)
Possible Issues
(2)
Neat Examples
(1)
SEE ALSO
AppellF1
Hypergeometric1F1
HypergeometricPFQ
Hypergeometric2F1Regularized
LegendreP
LegendreQ
Pochhammer
TUTORIALS
Special Functions
RELATED LINKS
MathWorld
The Wolfram Functions Site
NKS|Online
(
A New Kind of Science
)
MORE ABOUT
Functions for Separable Coordinate Systems
Hypergeometric Functions
Mathematical Functions
Special Functions
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