DLMF:18.25.E15 (Q5930)

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DLMF:18.25.E15
No description defined

    Statements

    Defining formula
    h n = n ! ⁢ ( N - n ) ! ⁢ ( γ + δ + 2 ) N N ! ⁢ ( γ + 1 ) n ⁢ ( δ + 1 ) N - n . subscript ℎ 𝑛 𝑛 𝑁 𝑛 Pochhammer 𝛾 𝛿 2 𝑁 𝑁 Pochhammer 𝛾 1 𝑛 Pochhammer 𝛿 1 𝑁 𝑛 {\displaystyle{\displaystyle h_{n}=\frac{n!\,(N-n)!\,{\left(\gamma+\delta+2% \right)_{N}}}{N!\,{\left(\gamma+1\right)_{n}}{\left(\delta+1\right)_{N-n}}}.}}
    0 references
    DLMF id
    DLMF:18.25.E15
    0 references
    Symbols used
    Q10759
    Defining formula
    ( a ) n Pochhammer 𝑎 𝑛 {\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}
    xml-id
    C5.S2.SS3.m1acdec
    0 references
    Q10755
    Defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5aedec
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    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1jdec
    0 references
    Q11736
    Defining formula
    N 𝑁 {\displaystyle{\displaystyle N}}
    xml-id
    C18.S1.XMD7.m1gdec
    0 references
    Q11754
    Defining formula
    δ 𝛿 {\displaystyle{\displaystyle\delta}}
    xml-id
    C18.S1.XMD8.m1hdec
    0 references
    DLMF:18.2.E5
    Defining formula
    h n subscript ℎ 𝑛 {\displaystyle{\displaystyle h_{n}}}
    xml-id
    C18.S2.XMD4.m1edec
    0 references
     
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