DLMF:10.15.E2 (Q3148)

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DLMF:10.15.E2
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    Statements

    test
    ∂ ⁡ Y ν ⁡ ( z ) ∂ ⁡ ν = cot ⁡ ( ν ⁢ π ) ⁢ ( ∂ ⁡ J ν ⁡ ( z ) ∂ ⁡ ν - π ⁢ Y ν ⁡ ( z ) ) - csc ⁡ ( ν ⁢ π ) ⁢ ∂ ⁡ J - ν ⁡ ( z ) ∂ ⁡ ν - π ⁢ J ν ⁡ ( z ) . partial-derivative Bessel-Y-Weber 𝜈 𝑧 𝜈 𝜈 𝜋 partial-derivative Bessel-J 𝜈 𝑧 𝜈 𝜋 Bessel-Y-Weber 𝜈 𝑧 𝜈 𝜋 partial-derivative Bessel-J 𝜈 𝑧 𝜈 𝜋 Bessel-J 𝜈 𝑧 {\displaystyle{\displaystyle\frac{\partial Y_{\nu}\left(z\right)}{\partial\nu}% =\cot\left(\nu\pi\right)\left(\frac{\partial J_{\nu}\left(z\right)}{\partial% \nu}-\pi Y_{\nu}\left(z\right)\right)-\csc\left(\nu\pi\right)\frac{\partial J_% {-\nu}\left(z\right)}{\partial\nu}-\pi J_{\nu}\left(z\right).}}
    0 references
    DLMF id
    DLMF:10.15.E2
    0 references
    Symbols used
    Bessel function of the first kind
    test
    J ν ⁡ ( z ) Bessel-J 𝜈 𝑧 {\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C10.S2.E2.m2aadec
    0 references
     
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