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DLMF:10.22#Ex2 - MaRDI portal

DLMF:10.22#Ex2 (Q4070)

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DLMF:10.22#Ex2
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    z - ν + 1 𝒞 ν ( z ) d z = - z - ν + 1 𝒞 ν - 1 ( z ) . superscript 𝑧 𝜈 1 cylinder-function 𝜈 𝑧 𝑧 superscript 𝑧 𝜈 1 cylinder-function 𝜈 1 𝑧 {\displaystyle{\displaystyle\int z^{-\nu+1}\mathscr{C}_{\nu}\left(z\right)% \mathrm{d}z=-z^{-\nu+1}\mathscr{C}_{\nu-1}\left(z\right).}}
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