DLMF:29.6.E42 (Q8674)

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DLMF:29.6.E42
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    Statements

    Defining formula
    ( 1 - 1 2 ⁢ k 2 ) ⁢ ∑ p = 0 ∞ D 2 ⁢ p + 1 2 + 1 2 ⁢ k 2 ⁢ ( 1 2 ⁢ D 1 2 - ∑ p = 0 ∞ D 2 ⁢ p + 1 ⁢ D 2 ⁢ p + 3 ) = 1 , 1 1 2 superscript 𝑘 2 superscript subscript 𝑝 0 superscript subscript 𝐷 2 𝑝 1 2 1 2 superscript 𝑘 2 1 2 superscript subscript 𝐷 1 2 superscript subscript 𝑝 0 subscript 𝐷 2 𝑝 1 subscript 𝐷 2 𝑝 3 1 {\displaystyle{\displaystyle\left(1-\tfrac{1}{2}k^{2}\right)\sum_{p=0}^{\infty% }D_{2p+1}^{2}+{\tfrac{1}{2}k^{2}\left(\tfrac{1}{2}D_{1}^{2}-\sum_{p=0}^{\infty% }D_{2p+1}D_{2p+3}\right)=1},}}
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    DLMF id
    DLMF:29.6.E42
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    comment
    Warning: Falling back to standard tex;
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    Symbols used
    Q12373
    Defining formula
    D 2 ⁢ p + 1 subscript 𝐷 2 𝑝 1 {\displaystyle{\displaystyle D_{2p+1}}}
    xml-id
    C29.S6.XMD10.m1cdec
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    Q12359
    Defining formula
    p 𝑝 {\displaystyle{\displaystyle p}}
    xml-id
    C29.S1.XMD3.m1afdec
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    Q12350
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C29.S1.XMD8.m1udec
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