DLMF:23.9.E8 (Q7298)

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DLMF:23.9.E8
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    Statements

    Defining formula
    a m , n = 3 ⁢ ( m + 1 ) ⁢ a m + 1 , n - 1 + 16 3 ⁢ ( n + 1 ) ⁢ a m - 2 , n + 1 - 1 3 ⁢ ( 2 ⁢ m + 3 ⁢ n - 1 ) ⁢ ( 4 ⁢ m + 6 ⁢ n - 1 ) ⁢ a m - 1 , n . subscript 𝑎 𝑚 𝑛 3 𝑚 1 subscript 𝑎 𝑚 1 𝑛 1 16 3 𝑛 1 subscript 𝑎 𝑚 2 𝑛 1 1 3 2 𝑚 3 𝑛 1 4 𝑚 6 𝑛 1 subscript 𝑎 𝑚 1 𝑛 {\displaystyle{\displaystyle a_{m,n}=3(m+1)a_{m+1,n-1}+\tfrac{16}{3}(n+1)a_{m-% 2,n+1}-\tfrac{1}{3}(2m+3n-1)(4m+6n-1)a_{m-1,n}.}}
    0 references
    DLMF id
    DLMF:23.9.E8
    0 references
    comment
    Warning: Falling back to standard tex;
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    Symbols used
    Q12060
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C23.S1.XMD3.m1edec
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    Q12061
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C23.S1.XMD4.m1bdec
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    Q12075
    Defining formula
    a m , n subscript 𝑎 𝑚 𝑛 {\displaystyle{\displaystyle a_{m,n}}}
    xml-id
    C23.S9.XMD3.m1adec
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