• → Factorial

Beta

Euler beta function (SymPy, WMA)

Beta[a, b]

is the Euler's Beta function.

Beta[z, a, b]

gives the incomplete Beta function.

The Beta function satisfies the property
Beta[x, y] = Integrate[t^(x-1)(1-t)^(y-1),{t,0,1}] = Gamma[a] Gamma[b] / Gamma[a + b]

• • Beta[2, 3]

• • 12* Beta[1., 2, 3]