DLMF:13.4.E1 (Q4364)

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DLMF:13.4.E1
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    Statements

    Defining formula
    𝐌 ⁡ ( a , b , z ) = 1 Γ ⁡ ( a ) ⁢ Γ ⁡ ( b - a ) ⁢ ∫ 0 1 e z ⁢ t ⁢ t a - 1 ⁢ ( 1 - t ) b - a - 1 ⁢ d t , Kummer-confluent-hypergeometric-bold-M 𝑎 𝑏 𝑧 1 Euler-Gamma 𝑎 Euler-Gamma 𝑏 𝑎 superscript subscript 0 1 superscript 𝑒 𝑧 𝑡 superscript 𝑡 𝑎 1 superscript 1 𝑡 𝑏 𝑎 1 𝑡 {\displaystyle{\displaystyle{\mathbf{M}}\left(a,b,z\right)=\frac{1}{\Gamma% \left(a\right)\Gamma\left(b-a\right)}\int_{0}^{1}e^{zt}t^{a-1}(1-t)^{b-a-1}% \mathrm{d}t,}}
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    DLMF id
    DLMF:13.4.E1
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