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DLMF:29.3#Ex11

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Formula:9303
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MaRDI QIDQ9303

  • Label: DLMF:29.3#Ex11


Digital Library of Mathematical Functions ID 29.3#Ex11

∫ 0 K ⁡ dn ⁡ ( x , k ) ⁢ ( 𝐸𝑐 ν 2 ⁢ m + 1 ⁡ ( x , k 2 ) ) 2 ⁢ d x = 1 4 ⁢ π , superscript subscript 0 complete-elliptic-integral-first-kind-K 𝑘 Jacobi-elliptic-dn 𝑥 𝑘 superscript Lame-Ec 2 𝑚 1 𝜈 𝑥 superscript 𝑘 2 2 𝑥 1 4 𝜋 {\displaystyle{\displaystyle\int_{0}^{K}\operatorname{dn}\left(x,k\right)\left% (\mathit{Ec}^{2m+1}_{\nu}\left(x,k^{2}\right)\right)^{2}\mathrm{d}x=\frac{1}{4% }\pi,}}


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    This page was last edited on 28 January 2024, at 10:30.
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