DLMF:15.12.E13 (Q5174)

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DLMF:15.12.E13
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    Statements

    test
    G 0 ⁢ ( ± β ) = ( 2 + e ± ζ ) c - b - ( 1 / 2 ) ⁢ ( 1 + e ± ζ ) a - c + ( 1 / 2 ) ⁢ ( z - 1 - e ± ζ ) - a + ( 1 / 2 ) ⁢ β e ζ - e - ζ . subscript 𝐺 0 plus-or-minus 𝛽 superscript 2 superscript 𝑒 plus-or-minus 𝜁 𝑐 𝑏 1 2 superscript 1 superscript 𝑒 plus-or-minus 𝜁 𝑎 𝑐 1 2 superscript 𝑧 1 superscript 𝑒 plus-or-minus 𝜁 𝑎 1 2 𝛽 superscript 𝑒 𝜁 superscript 𝑒 𝜁 {\displaystyle{\displaystyle G_{0}(\pm\beta)=\left(2+e^{\pm\zeta}\right)^{c-b-% (\ifrac{1}{2})}\left(1+e^{\pm\zeta}\right)^{a-c+(\ifrac{1}{2})}\left(z-1-e^{% \pm\zeta}\right)^{-a+(\ifrac{1}{2})}\sqrt{\frac{\beta}{e^{\zeta}-e^{-\zeta}}}.}}
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    DLMF id
    DLMF:15.12.E13
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    comment
    Warning: Falling back to standard tex;
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    Symbols used
    base of natural logarithm
    test
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2acdec
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    Q11644
    test
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C15.S1.XMD3.m1jdec
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    Q11645
    test
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C15.S1.XMD4.m1fdec
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    Q11646
    test
    b 𝑏 {\displaystyle{\displaystyle b}}
    xml-id
    C15.S1.XMD5.m1fdec
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    Q11647
    test
    c 𝑐 {\displaystyle{\displaystyle c}}
    xml-id
    C15.S1.XMD6.m1fdec
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    Q11682
    test
    ζ 𝜁 {\displaystyle{\displaystyle\zeta}}
    xml-id
    C15.S12.XMD5.m1fdec
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    Q11684
    test
    β 𝛽 {\displaystyle{\displaystyle\beta}}
    xml-id
    C15.S12.XMD6.m1cdec
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    Q11686
    test
    G 0 ⁢ ( ± ζ ) subscript 𝐺 0 plus-or-minus 𝜁 {\displaystyle{\displaystyle G_{0}(\pm\zeta)}}
    xml-id
    C15.S12.XMD8.m1adec
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