GNU Octave - Local Sector 7 web page

Chapter 19: Arithmetic 171beta (a, b)Return the Beta function,Mapping FunctionB(a, b) = Γ(a)Γ(b)Γ(a + b) .betainc (x, a, b)Return the incomplete Beta function,Mapping Function∫ xβ(x, a, b) = B(a, b) −1 t (a−z) (1 − t) (b−1) dt.0If x has more than one component, both a and b must be scalars. If x is a scalar, aand b must be of compatible dimensions.bincoeff (n, k)Return the binomial coefficient of n and k, defined as(nk)=n(n − 1)(n − 2) · · · (n − k + 1)k!Mapping FunctionFor example,bincoeff (5, 2)⇒ 10erf (z)Computes the error function,Mapping Functionerf(z) = 2 √ π∫ z0e −t2 dterfc (z)Computes the complementary error function, 1 − erf(z).Mapping Functionerfinv (z)Computes the inverse of the error function.Mapping Functiongamma (z)Computes the Gamma function,Mapping FunctionΓ(z) =∫ ∞0t z−1 e −t dt.