DLMF:10.61#Ex3 (Q3796)

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DLMF:10.61#Ex3
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    Defining formula
    ber - ν ⁡ x = cos ⁡ ( ν ⁢ π ) ⁢ ber ν ⁡ x + sin ⁡ ( ν ⁢ π ) ⁢ bei ν ⁡ x + ( 2 / π ) ⁢ sin ⁡ ( ν ⁢ π ) ⁢ ker ν ⁡ x , Kelvin-ber 𝜈 𝑥 𝜈 𝜋 Kelvin-ber 𝜈 𝑥 𝜈 𝜋 Kelvin-bei 𝜈 𝑥 2 𝜋 𝜈 𝜋 Kelvin-ker 𝜈 𝑥 {\displaystyle{\displaystyle\operatorname{ber}_{-\nu}x=\cos\left(\nu\pi\right)% \operatorname{ber}_{\nu}x+\sin\left(\nu\pi\right)\operatorname{bei}_{\nu}x+(2/% \pi)\sin\left(\nu\pi\right)\operatorname{ker}_{\nu}x,}}
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    DLMF id
    DLMF:10.61#Ex3
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