Category:Falling Factorials

This category contains results about Falling Factorials.

Let $x$ be a real number (but usually an integer).

Let $n$ be a positive integer.

Then $x$ to the (power of) $n$ falling is:

$\displaystyle x^{\underline n} := \prod_{j \mathop = 0}^{n - 1} \left({x - j}\right) = x \left({x - 1}\right) \cdots \left({x - n + 1}\right)$

Subcategories

This category has the following 3 subcategories, out of 3 total.