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DLMF:10.44#Ex1 - MaRDI portal

DLMF:10.44#Ex1 (Q4346)

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DLMF:10.44#Ex1
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    I ν ( z ) = k = 0 z k k ! J ν + k ( z ) , modified-Bessel-first-kind 𝜈 𝑧 superscript subscript 𝑘 0 superscript 𝑧 𝑘 𝑘 Bessel-J 𝜈 𝑘 𝑧 {\displaystyle{\displaystyle I_{\nu}\left(z\right)=\sum_{k=0}^{\infty}\frac{z^% {k}}{k!}J_{\nu+k}\left(z\right),}}
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