DLMF:19.30.E11 (Q6686): Difference between revisions

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q = 2 a 2 / r 2 = sec ( 2 θ ) 𝑞 2 superscript 𝑎 2 superscript 𝑟 2 2 𝜃 {\displaystyle{\displaystyle q=2a^{2}/r^{2}=\sec\left(2\theta\right)}}

q=2a^{2}/r^{2}=\sec@{2\theta}
Property / constraint: q = 2 a 2 / r 2 = sec ( 2 θ ) 𝑞 2 superscript 𝑎 2 superscript 𝑟 2 2 𝜃 {\displaystyle{\displaystyle q=2a^{2}/r^{2}=\sec\left(2\theta\right)}} / rank
 
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Revision as of 18:10, 30 December 2019

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DLMF:19.30.E11
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    s = 2 a 2 0 r d t 4 a 4 - t 4 = 2 a 2 R F ( q - 1 , q , q + 1 ) , 𝑠 2 superscript 𝑎 2 superscript subscript 0 𝑟 𝑡 4 superscript 𝑎 4 superscript 𝑡 4 2 superscript 𝑎 2 Carlson-integral-RF 𝑞 1 𝑞 𝑞 1 {\displaystyle{\displaystyle s=2a^{2}\int_{0}^{r}\frac{\mathrm{d}t}{\sqrt{4a^{% 4}-t^{4}}}=\sqrt{2a^{2}}R_{F}\left(q-1,q,q+1\right),}}
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    DLMF:19.30.E11
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    q = 2 a 2 / r 2 = sec ( 2 θ ) 𝑞 2 superscript 𝑎 2 superscript 𝑟 2 2 𝜃 {\displaystyle{\displaystyle q=2a^{2}/r^{2}=\sec\left(2\theta\right)}}
    0 references