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Beta function
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Mathematics
Fields of mathematics
Combinatorics
Factorial and binomial topics
Gamma and related functions
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The
Beta function
is
a
special function in
mathematics
that is closely related to the
gamma function
and is defined for
positive real numbers
. It is often denoted
as
\(
B
(
x
,
y
) \) and defined
as
follows: \[
B
(
x
,
y
) = \
int
_
0
^
1
t
^{
x
-
1
} (
1
-
t
)^{
y
-
1} \
, dt \] for \(
x
>
0
\) and \(
y
>
0 \)
.
Ancestors
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Gamma and related functions
Factorial and binomial topics
Combinatorics
Fields of mathematics
Mathematics
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