DLMF:13.2.E19 (Q4309)

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DLMF:13.2.E19
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    Statements

    Defining formula
    U ⁡ ( a , 1 , z ) = - 1 Γ ⁡ ( a ) ⁢ ( ln ⁡ z + ψ ⁡ ( a ) + 2 ⁢ γ ) + O ⁡ ( z ⁢ ln ⁡ z ) , Kummer-confluent-hypergeometric-U 𝑎 1 𝑧 1 Euler-Gamma 𝑎 𝑧 digamma 𝑎 2 𝛾 Big-O 𝑧 𝑧 {\displaystyle{\displaystyle U\left(a,1,z\right)=-\frac{1}{\Gamma\left(a\right% )}\left(\ln z+\psi\left(a\right)+2\gamma\right)+O\left(z\ln z\right),}}
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    DLMF id
    DLMF:13.2.E19
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