DLMF:2.7.E5 (Q895)

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DLMF:2.7.E5
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    Statements

    Defining formula
    Q ⁢ ( α j + s ) ⁢ a s , j = - ∑ r = 0 s - 1 ( ( α j + r ) ⁢ f s - r + g s - r ) ⁢ a r , j , 𝑄 subscript 𝛼 𝑗 𝑠 subscript 𝑎 𝑠 𝑗 superscript subscript 𝑟 0 𝑠 1 subscript 𝛼 𝑗 𝑟 subscript 𝑓 𝑠 𝑟 subscript 𝑔 𝑠 𝑟 subscript 𝑎 𝑟 𝑗 {\displaystyle{\displaystyle Q(\alpha_{j}+s)a_{s,j}=-\sum_{r=0}^{s-1}\left((% \alpha_{j}+r)f_{s-r}+g_{s-r}\right)a_{r,j},}}
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    DLMF id
    DLMF:2.7.E5
    0 references
    comment
    Warning: Falling back to standard tex;
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    Symbols used
    Q11046
    Defining formula
    f s subscript 𝑓 𝑠 {\displaystyle{\displaystyle f_{s}}}
    xml-id
    C2.S7.XMD5.m1bdec
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    Q11047
    Defining formula
    g s subscript 𝑔 𝑠 {\displaystyle{\displaystyle g_{s}}}
    xml-id
    C2.S7.XMD6.m1bdec
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    Q11048
    Defining formula
    Q ⁢ ( α ) 𝑄 𝛼 {\displaystyle{\displaystyle Q(\alpha)}}
    xml-id
    C2.S7.XMD7.m1adec
    0 references
    Q11051
    Defining formula
    a n subscript 𝑎 𝑛 {\displaystyle{\displaystyle a_{n}}}
    xml-id
    C2.S7.XMD9.m1adec
    0 references
     
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