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DLMF:33.9.E5 - MaRDI portal

DLMF:33.9.E5 (Q10247)

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DLMF:33.9.E5
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    Statements

    DLMF defining formula
    4 ⁢ η 2 ⁢ ( k - 2 ⁢ ℓ ) ⁢ b k + 1 + k ⁢ b k - 1 + b k - 2 = 0 , 4 superscript 𝜂 2 𝑘 2 ℓ subscript 𝑏 𝑘 1 𝑘 subscript 𝑏 𝑘 1 subscript 𝑏 𝑘 2 0 {\displaystyle{\displaystyle{4\eta^{2}(k-2\ell)b_{k+1}+kb_{k-1}+b_{k-2}=0},}}
    0 references
    comment
    Warning: Falling back to standard tex;
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    constraint
    k = 2 ⁢ ℓ + 2 , 2 ⁢ ℓ + 3 , … 𝑘 2 ℓ 2 2 ℓ 3 … {\displaystyle{\displaystyle k=2\ell+2,2\ell+3,\dots}}
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    Symbols used
    nonnegative integer
    DLMF defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C33.S1.XMD1.m1ddec
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    nonnegative integer
    DLMF defining formula
    ℓ ℓ {\displaystyle{\displaystyle\ell}}
    xml-id
    C33.S1.XMD2.m1ddec
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    real parameter
    DLMF defining formula
    η 𝜂 {\displaystyle{\displaystyle\eta}}
    xml-id
    C33.S1.XMD7.m1ddec
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    coefficient
    DLMF defining formula
    b k subscript 𝑏 𝑘 {\displaystyle{\displaystyle b_{k}}}
    xml-id
    C33.S9.XMD3.m1bdec
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    Identifiers

     
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