The Beta function is defined as B(x, y) = \(\int_0^1 t^{x-1}(1-t)^{y-1} d t \)
Then B(x, y + 1) + B(x + 1, y) can be expressed as
1
B(x, y +1)
2
B(x + y, 1)
3
B(x + y, x -y)
4
B(x, y)
The Beta function is defined as B(x, y) = \(\int_0^1 t^{x-1}(1-t)^{y-1} d t \)
Then B(x, y + 1) + B(x + 1, y) can be expressed as