DLMF:5.2.E5 (Q2031)

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DLMF:5.2.E5
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    Statements

    Defining formula
    ( a ) n = Γ ⁡ ( a + n ) / Γ ⁡ ( a ) , Pochhammer 𝑎 𝑛 Euler-Gamma 𝑎 𝑛 Euler-Gamma 𝑎 {\displaystyle{\displaystyle{\left(a\right)_{n}}=\Gamma\left(a+n\right)/\Gamma% \left(a\right),}}
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    DLMF id
    DLMF:5.2.E5
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    constraint
    a ≠ 0 , - 1 , - 2 , … 𝑎 0 1 2 … {\displaystyle{\displaystyle a\neq 0,-1,-2,\dots}}
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    Symbols used
    gamma function
    Defining formula
    Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    xml-id
    C5.S2.E1.m2abdec
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    Q10759
    Defining formula
    ( a ) n Pochhammer 𝑎 𝑛 {\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}
    xml-id
    C5.S2.SS3.m1aadec
    0 references
    Q11274
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C5.S1.XMD3.m1bdec
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