DLMF:10.71#Ex1 (Q3909)

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DLMF:10.71#Ex1
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    ∫ x ⁢ M ν 2 ⁡ ( x ) ⁢ d x = x ⁢ ( ber ν ⁡ x ⁢ bei ν ′ ⁡ x - ber ν ′ ⁡ x ⁢ bei ν ⁡ x ) , 𝑥 modulus-Bessel-M 𝜈 2 𝑥 𝑥 𝑥 Kelvin-ber 𝜈 𝑥 diffop Kelvin-bei 𝜈 1 𝑥 diffop Kelvin-ber 𝜈 1 𝑥 Kelvin-bei 𝜈 𝑥 {\displaystyle{\displaystyle\int x{M_{\nu}^{2}}\left(x\right)\mathrm{d}x=x(% \operatorname{ber}_{\nu}x\operatorname{bei}_{\nu}'x-\operatorname{ber}_{\nu}'x% \operatorname{bei}_{\nu}x),}}
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    DLMF:10.71#Ex1
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