falling factorial

Summary

falling factorial is a binary function^[1]. It draws 7 Wikipedia views per month (binary_function category, ranking #3 of 2).^[2]

Key Facts

• falling factorial's instance of is recorded as binary function^[3].
• falling factorial's subclass of is recorded as polynomial^[4].
• falling factorial's opposite of is recorded as Pochhammer symbol^[5].
• falling factorial's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics^[6].
• falling factorial's defining formula is recorded as a^{\underline{k}} = \begin{cases} a \cdot (a - 1) \cdot \ldots \cdot (a - k + 1) & k > 0 \ 1 & k = 0 \end{cases}^[7].
• falling factorial's defining formula is recorded as n^{\underline{k}} = \frac{n!}{(n - k)!}^[8].
• falling factorial's MathWorld ID is recorded as FallingFactorial^[9].
• falling factorial's nLab ID is recorded as falling factorial^[10].
• falling factorial's maintained by WikiProject is recorded as WikiProject Mathematics^[11].
• falling factorial's in defining formula is recorded as a^{\underline{k}}^[12].
• falling factorial's in defining formula is recorded as a^[13].
• falling factorial's in defining formula is recorded as n^{\underline{k}}^[14].
• falling factorial's in defining formula is recorded as n^[15].
• falling factorial's PlanetMath ID is recorded as FallingFactorial^[16].
• falling factorial's Metamath statement ID is recorded as df-fallfac^[17].

Why It Matters

falling factorial draws 7 Wikipedia views per month (binary_function category, ranking #3 of 2).^[2]