DLMF:13.6.E9 (Q4396)

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DLMF:13.6.E9
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    Defining formula
    M ⁡ ( ν + 1 2 , 2 ⁢ ν + 1 , 2 ⁢ z ) = Γ ⁡ ( 1 + ν ) ⁢ e z ⁢ ( z / 2 ) - ν ⁢ I ν ⁡ ( z ) , Kummer-confluent-hypergeometric-M 𝜈 1 2 2 𝜈 1 2 𝑧 Euler-Gamma 1 𝜈 superscript 𝑒 𝑧 superscript 𝑧 2 𝜈 modified-Bessel-first-kind 𝜈 𝑧 {\displaystyle{\displaystyle M\left(\nu+\tfrac{1}{2},2\nu+1,2z\right)=\Gamma% \left(1+\nu\right)e^{z}\left(\ifrac{z}{2}\right)^{-\nu}I_{\nu}\left(z\right),}}
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    DLMF id
    DLMF:13.6.E9
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