DLMF:10.39.E9 (Q3577): Difference between revisions

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DLMF:10.39.E9
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    Defining formula
    I ν ⁡ ( z ) = ( 1 2 ⁢ z ) ν Γ ⁡ ( ν + 1 ) ⁢ F 1 0 ⁡ ( - ; ν + 1 ; 1 4 ⁢ z 2 ) , modified-Bessel-first-kind 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 I_{\nu}\left(z\right)=\frac{(\frac{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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    DLMF id
    DLMF:10.39.E9
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