DLMF:13.10.E11 (Q4470)

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DLMF:13.10.E11
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    test
    ∫ 0 ∞ t λ - 1 ⁢ U ⁡ ( a , b , t ) ⁢ d t = Γ ⁡ ( λ ) ⁢ Γ ⁡ ( a - λ ) ⁢ Γ ⁡ ( λ - b + 1 ) Γ ⁡ ( a ) ⁢ Γ ⁡ ( a - b + 1 ) , superscript subscript 0 superscript 𝑡 𝜆 1 Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑡 𝑡 Euler-Gamma 𝜆 Euler-Gamma 𝑎 𝜆 Euler-Gamma 𝜆 𝑏 1 Euler-Gamma 𝑎 Euler-Gamma 𝑎 𝑏 1 {\displaystyle{\displaystyle\int_{0}^{\infty}t^{\lambda-1}U\left(a,b,t\right)% \mathrm{d}t=\frac{\Gamma\left(\lambda\right)\Gamma\left(a-\lambda\right)\Gamma% \left(\lambda-b+1\right)}{\Gamma\left(a\right)\Gamma\left(a-b+1\right)},}}
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    DLMF:13.10.E11
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