DLMF:10.44.E3 (Q3651)

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DLMF:10.44.E3
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    𝒵 ν ( u ± v ) = k = - ( ± 1 ) k 𝒵 ν + k ( u ) I k ( v ) , modified-cylinder-function 𝜈 plus-or-minus 𝑢 𝑣 superscript subscript 𝑘 superscript plus-or-minus 1 𝑘 modified-cylinder-function 𝜈 𝑘 𝑢 modified-Bessel-first-kind 𝑘 𝑣 {\displaystyle{\displaystyle\mathscr{Z}_{\nu}\left(u\pm v\right)=\sum_{k=-% \infty}^{\infty}(\pm 1)^{k}\mathscr{Z}_{\nu+k}\left(u\right)I_{k}\left(v\right% ),}}
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