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DLMF:10.6#Ex1 - MaRDI portal

DLMF:10.6#Ex1 (Q3727)

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DLMF:10.6#Ex1
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    𝒞 ν - 1 ( z ) + 𝒞 ν + 1 ( z ) = ( 2 ν / z ) 𝒞 ν ( z ) , cylinder-function 𝜈 1 𝑧 cylinder-function 𝜈 1 𝑧 2 𝜈 𝑧 cylinder-function 𝜈 𝑧 {\displaystyle{\displaystyle\mathscr{C}_{\nu-1}\left(z\right)+\mathscr{C}_{\nu% +1}\left(z\right)=(2\nu/z)\mathscr{C}_{\nu}\left(z\right),}}
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