beta - Beta function
Syntax
B = beta(Z,W)
Definition
The beta function is
where
is the gamma function.
Description
B = beta(Z,W) computes the beta
function for corresponding elements of arrays Z and W.
The arrays must be real and nonnegative. They must be the same size, or either
can be scalar.
Examples
In this example, which uses integer arguments,
beta(n,3)
= (n-1)!*2!/(n+2)!
= 2/(n*(n+1)*(n+2))
is the ratio of fairly small integers, and the rational format is able
to recover the exact result.
format rat
beta((0:10)',3)
ans =
1/0
1/3
1/12
1/30
1/60
1/105
1/168
1/252
1/360
1/495
1/660 Algorithm
beta(z,w) = exp(gammaln(z)+gammaln(w)-gammaln(z+w))
See Also
betainc, betaln, gammaln
 | bessely | | betainc |  |
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