DLMF:10.2.E4 (Q3008)

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DLMF:10.2.E4
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    Defining formula
    Y n ⁡ ( z ) = 1 π ⁢ ∂ ⁡ J ν ⁡ ( z ) ∂ ⁡ ν | ν = n + ( - 1 ) n π ⁢ ∂ ⁡ J ν ⁡ ( z ) ∂ ⁡ ν | ν = - n , Bessel-Y-Weber 𝑛 𝑧 evaluated-at 1 𝜋 partial-derivative Bessel-J 𝜈 𝑧 𝜈 𝜈 𝑛 evaluated-at superscript 1 𝑛 𝜋 partial-derivative Bessel-J 𝜈 𝑧 𝜈 𝜈 𝑛 {\displaystyle{\displaystyle Y_{n}\left(z\right)=\frac{1}{\pi}\left.\frac{% \partial J_{\nu}\left(z\right)}{\partial\nu}\right|_{\nu=n}+\left.\frac{(-1)^{% n}}{\pi}\frac{\partial J_{\nu}\left(z\right)}{\partial\nu}\right|_{\nu=-n},}}
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    DLMF:10.2.E4
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