DLMF:29.6.E12 (Q8640)

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DLMF:29.6.E12
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    Statements

    Defining formula
    ( 1 - 1 2 ⁢ k 2 ) ⁢ ( 1 2 ⁢ C 0 2 + ∑ p = 1 ∞ C 2 ⁢ p 2 ) - 1 2 ⁢ k 2 ⁢ ∑ p = 0 ∞ C 2 ⁢ p ⁢ C 2 ⁢ p + 2 = 1 , 1 1 2 superscript 𝑘 2 1 2 superscript subscript 𝐶 0 2 superscript subscript 𝑝 1 superscript subscript 𝐶 2 𝑝 2 1 2 superscript 𝑘 2 superscript subscript 𝑝 0 subscript 𝐶 2 𝑝 subscript 𝐶 2 𝑝 2 1 {\displaystyle{\displaystyle\left(1-\tfrac{1}{2}k^{2}\right)\left(\tfrac{1}{2}% C_{0}^{2}+\sum_{p=1}^{\infty}C_{2p}^{2}\right)-\tfrac{1}{2}k^{2}\sum_{p=0}^{% \infty}C_{2p}C_{2p+2}=1,}}
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    DLMF id
    DLMF:29.6.E12
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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.m1hdec
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    Q12350
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C29.S1.XMD8.m1edec
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    Q12368
    Defining formula
    C 2 ⁢ p subscript 𝐶 2 𝑝 {\displaystyle{\displaystyle C_{2p}}}
    xml-id
    C29.S6.XMD4.m1cdec
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