DLMF:13.10.E10 (Q4469)

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DLMF:13.10.E10
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    test
    ∫ 0 ∞ t λ - 1 ⁢ 𝐌 ⁡ ( a , b , - t ) ⁢ d t = Γ ⁡ ( λ ) ⁢ Γ ⁡ ( a - λ ) Γ ⁡ ( a ) ⁢ Γ ⁡ ( b - λ ) , superscript subscript 0 superscript 𝑡 𝜆 1 Kummer-confluent-hypergeometric-bold-M 𝑎 𝑏 𝑡 𝑡 Euler-Gamma 𝜆 Euler-Gamma 𝑎 𝜆 Euler-Gamma 𝑎 Euler-Gamma 𝑏 𝜆 {\displaystyle{\displaystyle\int_{0}^{\infty}t^{\lambda-1}{\mathbf{M}}\left(a,% b,-t\right)\mathrm{d}t=\frac{\Gamma\left(\lambda\right)\Gamma\left(a-\lambda% \right)}{\Gamma\left(a\right)\Gamma\left(b-\lambda\right)},}}
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    DLMF id
    DLMF:13.10.E10
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