DLMF:10.53.E1 (Q3755)

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DLMF:10.53.E1
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    𝗃 n ( z ) = z n k = 0 ( - 1 2 z 2 ) k k ! ( 2 n + 2 k + 1 ) !! , spherical-Bessel-J 𝑛 𝑧 superscript 𝑧 𝑛 superscript subscript 𝑘 0 superscript 1 2 superscript 𝑧 2 𝑘 𝑘 double-factorial 2 𝑛 2 𝑘 1 {\displaystyle{\displaystyle\mathsf{j}_{n}\left(z\right)=z^{n}\sum_{k=0}^{% \infty}\frac{(-\frac{1}{2}z^{2})^{k}}{k!(2n+2k+1)!!},}}
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