DLMF:2.7.E11 (Q902)

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DLMF:2.7.E11
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    Statements

    Defining formula
    ( f 0 + 2 ⁢ λ j ) ⁢ s ⁢ a s , j = ( s - μ j ) ⁢ ( s - 1 - μ j ) ⁢ a s - 1 , j + ∑ r = 1 s ( λ j ⁢ f r + 1 + g r + 1 - ( s - r - μ j ) ⁢ f r ) ⁢ a s - r , j , subscript 𝑓 0 2 subscript 𝜆 𝑗 𝑠 subscript 𝑎 𝑠 𝑗 𝑠 subscript 𝜇 𝑗 𝑠 1 subscript 𝜇 𝑗 subscript 𝑎 𝑠 1 𝑗 superscript subscript 𝑟 1 𝑠 subscript 𝜆 𝑗 subscript 𝑓 𝑟 1 subscript 𝑔 𝑟 1 𝑠 𝑟 subscript 𝜇 𝑗 subscript 𝑓 𝑟 subscript 𝑎 𝑠 𝑟 𝑗 {\displaystyle{\displaystyle(f_{0}+2\lambda_{j})sa_{s,j}=(s-\mu_{j})(s-1-\mu_{% j})a_{s-1,j}+\sum_{r=1}^{s}\left(\lambda_{j}f_{r+1}+g_{r+1}-(s-r-\mu_{j})f_{r}% \right)a_{s-r,j},}}
    0 references
    DLMF id
    DLMF:2.7.E11
    0 references
    comment
    Warning: Falling back to standard tex;
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    Symbols used
    Q11054
    Defining formula
    a s , j subscript 𝑎 𝑠 𝑗 {\displaystyle{\displaystyle a_{s,j}}}
    xml-id
    C2.S7.XMD13.m1adec
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    Q11055
    Defining formula
    λ j subscript 𝜆 𝑗 {\displaystyle{\displaystyle\lambda_{j}}}
    xml-id
    C2.S7.XMD14.m1bdec
    0 references
    Q11056
    Defining formula
    μ j subscript 𝜇 𝑗 {\displaystyle{\displaystyle\mu_{j}}}
    xml-id
    C2.S7.XMD15.m1bdec
    0 references
     
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