Pochhammer symbol

Summary

Pochhammer symbol is a binary function^[1]. It draws 9 Wikipedia views per month (binary_function category, ranking #2 of 2).^[2]

Key Facts

• Pochhammer symbol's instance of is recorded as binary function^[3].
• Leo August Pochhammer is named after Pochhammer symbol^[4].
• Pochhammer symbol's subclass of is recorded as polynomial^[5].
• Pochhammer symbol's said to be the same as is recorded as falling and rising factorial^[6].
• Pochhammer symbol's opposite of is recorded as falling factorial^[7].
• Pochhammer symbol's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics^[8].
• Pochhammer symbol's defining formula is recorded as (x)_{n}=x^{\underline{n}}=x(x-1)(x-2)\cdots(x-n+1)^[9].
• Pochhammer symbol's defining formula is recorded as a^{\overline{k}} = \begin{cases} a \cdot (a + 1) \cdots (a + k - 1) & k > 0 \ 1 & k = 0 \end{cases}^[10].
• Pochhammer symbol's defining formula is recorded as n^{\overline{k}} = \frac{(n + k - 1)!}{(n - 1)!}^[11].
• Pochhammer symbol's studied by is recorded as combinatorics^[12].
• Pochhammer symbol's Google Knowledge Graph ID is recorded as /g/11bc57zqqc^[13].
• Pochhammer symbol's MathWorld ID is recorded as PochhammerSymbol^[14].
• Pochhammer symbol's MathWorld ID is recorded as RisingFactorial^[15].
• Pochhammer symbol's maintained by WikiProject is recorded as WikiProject Mathematics^[16].
• Pochhammer symbol's in defining formula is recorded as a^[17].
• Pochhammer symbol's in defining formula is recorded as a^{\overline{k}}^[18].
• Pochhammer symbol's in defining formula is recorded as n^{\overline{k}}^[19].
• Pochhammer symbol's in defining formula is recorded as n^[20].
• Pochhammer symbol's PlanetMath ID is recorded as SomeFormulasInvolvingRisingFactorial^[21].
• Pochhammer symbol's ScienceDirect topic ID is recorded as mathematics/pochhammer-symbol^[22].
• Pochhammer symbol's Metamath statement ID is recorded as df-risefac^[23].

Why It Matters

Pochhammer symbol draws 9 Wikipedia views per month (binary_function category, ranking #2 of 2).^[2] It has Wikipedia articles in 10 language editions, a strong signal of global cultural recognition.^[24] It is known by 12 alternative names across languages and contexts.^[25]