DLMF:18.15.E20 (Q5714)

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DLMF:18.15.E20
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    Statements

    Defining formula
    B 0 ⁢ ( ξ ) = - 1 2 ⁢ ( 1 - 4 ⁢ α 2 8 + ξ ⁢ ( 1 - x x ) 1 2 ⁢ ( 4 ⁢ α 2 - 1 8 + 1 4 ⁢ x 1 - x + 5 24 ⁢ ( x 1 - x ) 2 ) ) . subscript 𝐵 0 𝜉 1 2 1 4 superscript 𝛼 2 8 𝜉 superscript 1 𝑥 𝑥 1 2 4 superscript 𝛼 2 1 8 1 4 𝑥 1 𝑥 5 24 superscript 𝑥 1 𝑥 2 {\displaystyle{\displaystyle B_{0}(\xi)=-\frac{1}{2}\left(\frac{1-4\alpha^{2}}% {8}+\xi\left(\frac{1-x}{x}\right)^{\frac{1}{2}}\left(\frac{4\alpha^{2}-1}{8}+% \frac{1}{4}\frac{x}{1-x}+\frac{5}{24}\left(\frac{x}{1-x}\right)^{2}\right)% \right).}}
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    DLMF id
    DLMF:18.15.E20
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    comment
    Warning: Falling back to standard tex;
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    Symbols used
    Q11730
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C18.S1.XMD5.m1mdec
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    DLMF:18.15.E18
    Defining formula
    ξ 𝜉 {\displaystyle{\displaystyle\xi}}
    xml-id
    C18.S15.XMD15.m1bdec
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    Q11727
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1edec
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