Pochhammer symbol

mathematical function

Pochhammer symbol is …
instance of (P31):
binary functionQ3737844

sublass of (P279):
polynomialQ43260

External links are
P2671Google Knowledge Graph ID/g/11bc57zqqc
P2812MathWorld IDPochhammerSymbol
RisingFactorial
P12888Metamath statement IDdf-risefac
P10376ScienceDirect topic IDmathematics/pochhammer-symbol

P2534defining formula a k ¯ = { a ⋅ ( a + 1 ) ⋅ … ⋅ ( a + k − 1 ) k > 0 1 k = 0 {\displaystyle a^{\overline {k}}={\begin{cases}a\cdot (a+1)\cdot \ldots \cdot (a+k-1)&k>0\\1&k=0\end{cases}}}
n k ¯ = ( n + k − 1 ) ! ( n − 1 ) ! {\displaystyle n^{\overline {k}}={\frac {(n+k-1)!}{(n-1)!}}}
( x ) n = x n _ = x ( x − 1 ) ( x − 2 ) ⋯ ( x − n + 1 ) {\displaystyle (x)_{n}=x^{\underline {n}}=x(x-1)(x-2)\cdots (x-n+1)}
P1343described by sourceISO 80000-2:2019 Quantities and units — Part 2: MathematicsQ109490582
P7235in defining formula a {\displaystyle a}
a k ¯ {\displaystyle a^{\overline {k}}}
n k ¯ {\displaystyle n^{\overline {k}}}
n {\displaystyle n}
P6104maintained by WikiProjectWikiProject MathematicsQ8487137
P138named afterLeo August PochhammerQ65197
P461opposite offalling factorialQ109514579
P460said to be the same asfalling and rising factorialQ2339261
P2579studied incombinatoricsQ76592

Reverse relations

Q5532449generalized Pochhammer symbolbased onP144
Q2339261falling and rising factorialsaid to be the same asP460
Q109514579falling factorialopposite ofP461
Q2339261falling and rising factorialmain subjectP921

The articles in Wikimedia projects and languages

Catalan (ca / Q7026)Símbol de Pochhammerwikipedia
      Pochhammer-Symbolwikipedia
      Rising factorialwikipedia
      Símbolo de Pochhammerwikipedia
      Symbole de Pochhammerwikipedia
      ポッホハマー記号wikipedia
      포흐하머 기호wikipedia
      Pochhammer-symboolwikipedia
      Символ Похгаммераwikipedia
      Pochhammerjev simbolwikipedia
      Pochhammersymbolenwikipedia
taஎழும் தொடர்பெருக்கம்wikipedia
      Символ Похгаммераwikipedia

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