DLMF:13.2.E22 (Q4312)

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DLMF:13.2.E22
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    Statements

    Defining formula
    U ⁡ ( a , b , z ) = Γ ⁡ ( 1 - b ) Γ ⁡ ( a - b + 1 ) + O ⁡ ( z ) , Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑧 Euler-Gamma 1 𝑏 Euler-Gamma 𝑎 𝑏 1 Big-O 𝑧 {\displaystyle{\displaystyle U\left(a,b,z\right)=\frac{\Gamma\left(1-b\right)}% {\Gamma\left(a-b+1\right)}+O\left(z\right),}}
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    DLMF id
    DLMF:13.2.E22
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    constraint
    ℜ ⁡ b ≤ 0 𝑏 0 {\displaystyle{\displaystyle\Re b\leq 0}}
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    ℜ ⁡ b ≤ 0 𝑏 0 {\displaystyle{\displaystyle\Re b\leq 0}}
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