DLMF:10.23.E15 (Q3469)

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DLMF:10.23.E15
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    test
    ( 1 2 ⁢ z ) ν = ∑ k = 0 ∞ ( ν + 2 ⁢ k ) ⁢ Γ ⁡ ( ν + k ) k ! ⁢ J ν + 2 ⁢ k ⁡ ( z ) , superscript 1 2 𝑧 𝜈 superscript subscript 𝑘 0 𝜈 2 𝑘 Euler-Gamma 𝜈 𝑘 𝑘 Bessel-J 𝜈 2 𝑘 𝑧 {\displaystyle{\displaystyle(\tfrac{1}{2}z)^{\nu}=\sum_{k=0}^{\infty}\frac{(% \nu+2k)\Gamma\left(\nu+k\right)}{k!}J_{\nu+2k}\left(z\right),}}
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    DLMF:10.23.E15
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