3.9.E16 (Q1396)

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3.9.E16
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    Statements

    DLMF defining formula
    c j , k , n = ( β + n + j ) k - 1 ( β + n + k ) k - 1 , subscript 𝑐 𝑗 𝑘 𝑛 Pochhammer 𝛽 𝑛 𝑗 𝑘 1 Pochhammer 𝛽 𝑛 𝑘 𝑘 1 {\displaystyle{\displaystyle c_{j,k,n}=\frac{{\left(\beta+n+j\right)_{k-1}}}{{% \left(\beta+n+k\right)_{k-1}}},}}
    0 references
    Symbols used
    Q10733
    DLMF defining formula
    ( a ) n Pochhammer 𝑎 𝑛 {\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}
    xml-id
    C5.S2.SS3.m1adec
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    coefficient (locally)
    DLMF defining formula
    c j , k , n subscript 𝑐 𝑗 𝑘 𝑛 {\displaystyle{\displaystyle c_{j,k,n}}}
    xml-id
    C3.S9.XMD7.m1bdec
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    arbitrary constant
    DLMF defining formula
    β 𝛽 {\displaystyle{\displaystyle\beta}}
    xml-id
    C3.S9.XMD9.m1dec
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    Identifiers

     
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