Pochhammer symbol (Q132335)

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mathematical function

• rising factorial

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Language	Label	Description	Also known as
English	Pochhammer symbol	mathematical function	rising factorial

Statements

instance of

binary function

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subclass of

polynomial

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named after

Leo August Pochhammer

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studied in

combinatorics

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defining formula

${\displaystyle (x)_{n}=x^{\underline {n}}=x(x-1)(x-2)\cdots (x-n+1)}$

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imported from Wikimedia project

English Wikipedia

${\displaystyle a^{\overline {k}}={\begin{cases}a\cdot (a+1)\cdot \ldots \cdot (a+k-1)&k>0\\1&k=0\end{cases}}}$

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${\displaystyle n^{\overline {k}}={\frac {(n+k-1)!}{(n-1)!}}}$

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in defining formula

${\displaystyle a}$

symbol represents

complex number

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${\displaystyle a^{\overline {k}}}$

symbol represents

Pochhammer symbol

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${\displaystyle n^{\overline {k}}}$

symbol represents

Pochhammer symbol

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${\displaystyle n}$

symbol represents

natural number

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described by source

ISO 80000-2:2019 Quantities and units — Part 2: Mathematics

section, verse, paragraph, or clause

2-11.3

subject named as

rising factorial

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maintained by WikiProject

WikiProject Mathematics

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opposite of

falling factorial

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said to be the same as

falling and rising factorial

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Identifiers

Google Knowledge Graph ID

/g/11bc57zqqc

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MathWorld ID

PochhammerSymbol

1 reference

imported from Wikimedia project

English Wikipedia

RisingFactorial

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Metamath statement ID

df-risefac

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ScienceDirect topic ID

mathematics/pochhammer-symbol

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Sitelinks

Wikipedia(13 entries)

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• cawiki Símbol de Pochhammer
• dewiki Pochhammer-Symbol
• enwiki Rising factorial
• eswiki Símbolo de Pochhammer
• frwiki Symbole de Pochhammer
• jawiki ポッホハマー記号
• kowiki 포흐하머 기호
• nlwiki Pochhammer-symbool
• ruwiki Символ Похгаммера
• slwiki Pochhammerjev simbol
• svwiki Pochhammersymbolen
• tawiki எழும் தொடர்பெருக்கம்
• ukwiki Символ Похгаммера

Wikibooks(0 entries)

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Wikinews(0 entries)

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Wikiquote(0 entries)

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Wikisource(0 entries)

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Wikiversity(0 entries)

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Wikivoyage(0 entries)

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Wiktionary(0 entries)

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Multilingual sites(0 entries)

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Retrieved from "https://www.wikidata.org/w/index.php?title=Q132335&oldid=2203129639"