Rising and Falling Factorials

Let $x$ be a real number and $n$ an integer number, this application calculates the rising factorial \[ x^{(n)} = \prod_{k=1}^n(x+k-1)=x(x+1)(x+2)\cdots(x+n-1)=\frac{\Gamma(x+n)}{\Gamma(x)} \] and the falling factorial \[ (x)_n = \prod_{k=1}^n(x-k+1)=x(x-1)(x-2)\cdots(x-n+1) \] In the latter case this calculator requires that $n$ is a positive integer number.

Rising and Falling Factorial Calculator