DLMF:10.23.E12 (Q3466)

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DLMF:10.23.E12
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    1 t - z = J 0 ( z ) O 0 ( t ) + 2 k = 1 J k ( z ) O k ( t ) , 1 𝑡 𝑧 Bessel-J 0 𝑧 Neumann-polynomial 0 𝑡 2 superscript subscript 𝑘 1 Bessel-J 𝑘 𝑧 Neumann-polynomial 𝑘 𝑡 {\displaystyle{\displaystyle\frac{1}{t-z}=J_{0}\left(z\right)O_{0}\left(t% \right)+2\sum_{k=1}^{\infty}J_{k}\left(z\right)O_{k}\left(t\right),}}
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