beta function
The beta function is the function
B(m, n) = 
xm -1 (1 - x)n - 1 dx.
It can be defined in terms of the gamma function by
B(m, n) =
| Γ(m) Γ(n) |
| ____________ |
| Γ(m + n) |
Many integrals can be reduced to the evaluation of beta functions.
The beta function is the function
B(m, n) = xm -1 (1 - x)n - 1 dx.
It can be defined in terms of the gamma function by
B(m, n) =
| Γ(m) Γ(n) |
| ____________ |
| Γ(m + n) |
Many integrals can be reduced to the evaluation of beta functions.
