DLMF:10.16.E9 (Q3168)

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DLMF:10.16.E9
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    J ν ( z ) = ( 1 2 z ) ν Γ ( ν + 1 ) F 1 0 ( - ; ν + 1 ; - 1 4 z 2 ) . Bessel-J 𝜈 𝑧 superscript 1 2 𝑧 𝜈 Euler-Gamma 𝜈 1 Gauss-hypergeometric-pFq 0 1 𝜈 1 1 4 superscript 𝑧 2 {\displaystyle{\displaystyle J_{\nu}\left(z\right)=\frac{(\tfrac{1}{2}z)^{\nu}% }{\Gamma\left(\nu+1\right)}{{}_{0}F_{1}}\left(-;\nu+1;-\tfrac{1}{4}z^{2}\right% ).}}
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