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Stephen Wolfram
SEARCH MATHEMATICA 8 DOCUMENTATION
THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE
DOCUMENTATION CENTER
FOR THE LATEST INFORMATION.
Mathematica
>
Gamma Functions and Related Functions
>
Built-in
Mathematica
Symbol
Special Functions
Tutorials »
|
BetaRegularized
InverseBetaRegularized
Gamma
Pochhammer
Multinomial
See Also »
|
Functions Used in Statistics
Gamma Functions and Related Functions
Special Functions
More About »
Beta
Beta
[
a
,
b
]
gives the Euler beta function
.
Beta
[
z
,
a
,
b
]
gives the incomplete beta function
.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
.
.
Beta
[
z
,
a
,
b
]
has a branch cut discontinuity in the complex
plane running from
to
.
Beta
[
z
0
,
z
1
,
a
,
b
]
gives the generalized incomplete beta function
.
Note that the arguments in the incomplete form of
Beta
are arranged differently from those in the incomplete form of
Gamma
.
For certain special arguments,
Beta
automatically evaluates to exact values.
Beta
can be evaluated to arbitrary numerical precision.
Beta
automatically threads over lists.
In
TraditionalForm
,
Beta
is output using
\[CapitalBeta]
.
EXAMPLES
CLOSE ALL
Basic Examples
(2)
Exact values:
In[1]:=
Out[1]=
In[2]:=
Out[2]=
Evaluate numerically:
In[1]:=
Out[1]=
Scope
(6)
Generalizations & Extensions
(10)
Applications
(4)
Properties & Relations
(8)
Possible Issues
(4)
Neat Examples
(2)
SEE ALSO
BetaRegularized
InverseBetaRegularized
Gamma
Pochhammer
Multinomial
TUTORIALS
Special Functions
RELATED LINKS
MathWorld
The Wolfram Functions Site
MORE ABOUT
Functions Used in Statistics
Gamma Functions and Related Functions
Special Functions
New in 1
© 2013 Wolfram Research, Inc.
. 
. 
plane running from 
to 
. 
.
EXAMPLES
Basic Examples 
Scope 