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DLMF:10.44#Ex2 - MaRDI portal

DLMF:10.44#Ex2 (Q4347)

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DLMF:10.44#Ex2
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    DLMF defining formula
    J ν ⁡ ( z ) = ∑ k = 0 ∞ ( - 1 ) k ⁢ z k k ! ⁢ I ν + k ⁡ ( z ) . Bessel-J 𝜈 𝑧 superscript subscript 𝑘 0 superscript 1 𝑘 superscript 𝑧 𝑘 𝑘 modified-Bessel-first-kind 𝜈 𝑘 𝑧 {\displaystyle{\displaystyle J_{\nu}\left(z\right)=\sum_{k=0}^{\infty}(-1)^{k}% \frac{z^{k}}{k!}I_{\nu+k}\left(z\right).}}
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