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DLMF:22.9.E15 - MaRDI portal

DLMF:22.9.E15 (Q7700)

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DLMF:22.9.E15
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    Statements

    DLMF defining formula
    d 1 , 3 ( 2 ) ⁢ d 2 , 3 ( 2 ) ⁢ d 3 , 3 ( 2 ) = κ 2 + k 2 - 1 1 - κ 2 ⁢ ( d 1 , 3 ( 2 ) + d 2 , 3 ( 2 ) + d 3 , 3 ( 2 ) ) , superscript subscript 𝑑 1 3 2 superscript subscript 𝑑 2 3 2 superscript subscript 𝑑 3 3 2 superscript 𝜅 2 superscript 𝑘 2 1 1 superscript 𝜅 2 superscript subscript 𝑑 1 3 2 superscript subscript 𝑑 2 3 2 superscript subscript 𝑑 3 3 2 {\displaystyle{\displaystyle d_{1,3}^{(2)}d_{2,3}^{(2)}d_{3,3}^{(2)}=\frac{% \kappa^{2}+k^{2}-1}{1-\kappa^{2}}\left(d_{1,3}^{(2)}+d_{2,3}^{(2)}+d_{3,3}^{(2% )}\right),}}
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    comment
    Warning: Falling back to standard tex;
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    Symbols used
    modulus
    DLMF defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C22.S1.XMD4.m1hdec
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    cyclic quantity
    DLMF defining formula
    d m , p ( r ) superscript subscript 𝑑 𝑚 𝑝 𝑟 {\displaystyle{\displaystyle d_{m,p}^{(r)}}}
    xml-id
    C22.S9.XMD5.m1edec
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    change of variable
    DLMF defining formula
    κ 𝜅 {\displaystyle{\displaystyle\kappa}}
    xml-id
    C22.S9.XMD6.m1fdec
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    Identifiers

     
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