DLMF:10.64.E2 (Q3830)

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DLMF:10.64.E2
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    Statements

    test
    bei n ⁡ ( x ⁢ 2 ) = ( - 1 ) n π ⁢ ∫ 0 π sin ⁡ ( x ⁢ sin ⁡ t - n ⁢ t ) ⁢ sinh ⁡ ( x ⁢ sin ⁡ t ) ⁢ d t . Kelvin-bei 𝑛 𝑥 2 superscript 1 𝑛 𝜋 superscript subscript 0 𝜋 𝑥 𝑡 𝑛 𝑡 𝑥 𝑡 𝑡 {\displaystyle{\displaystyle\operatorname{bei}_{n}\left(x\sqrt{2}\right)=\frac% {(-1)^{n}}{\pi}\int_{0}^{\pi}\sin\left(x\sin t-nt\right)\sinh\left(x\sin t% \right)\mathrm{d}t.}}
    0 references
    DLMF id
    DLMF:10.64.E2
    0 references
    Symbols used
    Kelvin function
    test
    bei ν ⁡ ( x ) Kelvin-bei 𝜈 𝑥 {\displaystyle{\displaystyle\operatorname{bei}_{\NVar{\nu}}\left(\NVar{x}% \right)}}
    xml-id
    C10.S61.E1.m3adec
    0 references
     
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