Category:Rising Factorials

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This category contains results about Rising Factorials.


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

Let $n$ be a positive integer.


Then $x$ to the (power of) $n$ rising is defined as:

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

Also see