DLMF:19.29.E32 (Q6671): Difference between revisions

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DLMF:19.29.E32
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    Statements

    Defining formula
    ∫ y x d t t 4 + a 4 = 2 ⁢ R F ⁡ ( U , U + 2 ⁢ a 2 , U - 2 ⁢ a 2 ) , superscript subscript 𝑦 𝑥 𝑡 superscript 𝑡 4 superscript 𝑎 4 2 Carlson-integral-RF 𝑈 𝑈 2 superscript 𝑎 2 𝑈 2 superscript 𝑎 2 {\displaystyle{\displaystyle\int_{y}^{x}\frac{\mathrm{d}t}{\sqrt{t^{4}+a^{4}}}% =2R_{F}\left(U,U+2a^{2},U-2a^{2}\right),}}
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    DLMF id
    DLMF:19.29.E32
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