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DLMF:10.61#Ex4 - MaRDI portal

DLMF:10.61#Ex4 (Q4494)

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DLMF:10.61#Ex4
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    DLMF defining formula
    bei - ν ⁡ x = - sin ⁡ ( ν ⁢ π ) ⁢ ber ν ⁡ x + cos ⁡ ( ν ⁢ π ) ⁢ bei ν ⁡ x + ( 2 / π ) ⁢ sin ⁡ ( ν ⁢ π ) ⁢ kei ν ⁡ x . Kelvin-bei 𝜈 𝑥 𝜈 𝜋 Kelvin-ber 𝜈 𝑥 𝜈 𝜋 Kelvin-bei 𝜈 𝑥 2 𝜋 𝜈 𝜋 Kelvin-kei 𝜈 𝑥 {\displaystyle{\displaystyle\operatorname{bei}_{-\nu}x=-\sin\left(\nu\pi\right% )\operatorname{ber}_{\nu}x+\cos\left(\nu\pi\right)\operatorname{bei}_{\nu}x+(2% /\pi)\sin\left(\nu\pi\right)\operatorname{kei}_{\nu}x.}}
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