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DLMF:29.3#Ex14 - MaRDI portal

DLMF:29.3#Ex14 (Q9306)

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DLMF:29.3#Ex14
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    DLMF defining formula
    ∫ 0 K ⁑ 𝐸𝑐 Ξ½ 2 ⁒ m ⁑ ( x , k 2 ) ⁒ 𝐸𝑐 Ξ½ 2 ⁒ p ⁑ ( x , k 2 ) ⁒ d x = 0 , superscript subscript 0 complete-elliptic-integral-first-kind-K π‘˜ Lame-Ec 2 π‘š 𝜈 π‘₯ superscript π‘˜ 2 Lame-Ec 2 𝑝 𝜈 π‘₯ superscript π‘˜ 2 π‘₯ 0 {\displaystyle{\displaystyle\int_{0}^{K}\mathit{Ec}^{2m}_{\nu}\left(x,k^{2}% \right)\mathit{Ec}^{2p}_{\nu}\left(x,k^{2}\right)\mathrm{d}x=0,}}
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