DLMF:13.4.E2 (Q4365)

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DLMF:13.4.E2
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    Statements

    test
    𝐌 ⁡ ( a , b , z ) = 1 Γ ⁡ ( b - c ) ⁢ ∫ 0 1 𝐌 ⁡ ( a , c , z ⁢ t ) ⁢ t c - 1 ⁢ ( 1 - t ) b - c - 1 ⁢ d t , Kummer-confluent-hypergeometric-bold-M 𝑎 𝑏 𝑧 1 Euler-Gamma 𝑏 𝑐 superscript subscript 0 1 Kummer-confluent-hypergeometric-bold-M 𝑎 𝑐 𝑧 𝑡 superscript 𝑡 𝑐 1 superscript 1 𝑡 𝑏 𝑐 1 𝑡 {\displaystyle{\displaystyle{\mathbf{M}}\left(a,b,z\right)=\frac{1}{\Gamma% \left(b-c\right)}\int_{0}^{1}{\mathbf{M}}\left(a,c,zt\right)t^{c-1}(1-t)^{b-c-% 1}\mathrm{d}t,}}
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    DLMF id
    DLMF:13.4.E2
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    constraint
    ℜ ⁡ b > ℜ ⁡ c > 0 𝑏 𝑐 0 {\displaystyle{\displaystyle\Re b>\Re c>0}}
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