Category:Rising Factorials

This category contains results about Rising Factorials.
Definitions specific to this category can be found in Definitions/Rising Factorials.

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

Let $n$ be a positive integer.

Then the rising factorial with $n$ terms of $x$ is defined as:

$\ds x^{\overline n} := \prod_{j \mathop = 0}^{n - 1} \paren {x + j} = x \paren {x + 1} \cdots \paren {x + n - 1}$

Also see

• Category:Falling Factorials