DLMF:29.3.E15 (Q8604)

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DLMF:29.3.E15
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    Statements

    Defining formula
    β p = { 2 - k 2 - 1 2 ⁢ ν ⁢ ( ν + 1 ) ⁢ k 2 , p = 0 , ( 2 ⁢ p + 1 ) 2 ⁢ ( 2 - k 2 ) , p ≥ 1 , subscript 𝛽 𝑝 cases 2 superscript 𝑘 2 1 2 𝜈 𝜈 1 superscript 𝑘 2 𝑝 0 superscript 2 𝑝 1 2 2 superscript 𝑘 2 𝑝 1 {\displaystyle{\displaystyle\beta_{p}=\begin{cases}2-k^{2}-\tfrac{1}{2}\nu(\nu% +1)k^{2},&p=0,\\ (2p+1)^{2}(2-k^{2}),&p\geq 1,\end{cases}}}
    0 references
    DLMF id
    DLMF:29.3.E15
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    comment
    Warning: Falling back to standard tex;
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    Symbols used
    Q12359
    Defining formula
    p 𝑝 {\displaystyle{\displaystyle p}}
    xml-id
    C29.S1.XMD3.m1edec
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    Q12350
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C29.S1.XMD8.m1ndec
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    Q12351
    Defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C29.S1.XMD9.m1ndec
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    Q12360
    Defining formula
    β p subscript 𝛽 𝑝 {\displaystyle{\displaystyle\beta_{p}}}
    xml-id
    C29.S3.XMD3.m1cdec
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