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DLMF:10.29#Ex1 - MaRDI portal

DLMF:10.29#Ex1 (Q4201)

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DLMF:10.29#Ex1
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    𝒵 ν - 1 ( z ) - 𝒵 ν + 1 ( z ) = ( 2 ν / z ) 𝒵 ν ( z ) , modified-cylinder-function 𝜈 1 𝑧 modified-cylinder-function 𝜈 1 𝑧 2 𝜈 𝑧 modified-cylinder-function 𝜈 𝑧 {\displaystyle{\displaystyle\mathscr{Z}_{\nu-1}\left(z\right)-\mathscr{Z}_{\nu% +1}\left(z\right)=(2\nu/z)\mathscr{Z}_{\nu}\left(z\right),}}
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