DLMF:13.3.E26 (Q4360)

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DLMF:13.3.E26
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    test
    ( z ⁢ d d z ⁡ z ) n ⁢ ( z b - a - 1 ⁢ e - z ⁢ U ⁡ ( a , b , z ) ) = ( - 1 ) n ⁢ z b - a + n - 1 ⁢ e - z ⁢ U ⁡ ( a - n , b , z ) , superscript 𝑧 derivative 𝑧 𝑧 𝑛 superscript 𝑧 𝑏 𝑎 1 superscript 𝑒 𝑧 Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑧 superscript 1 𝑛 superscript 𝑧 𝑏 𝑎 𝑛 1 superscript 𝑒 𝑧 Kummer-confluent-hypergeometric-U 𝑎 𝑛 𝑏 𝑧 {\displaystyle{\displaystyle\left(z\frac{\mathrm{d}}{\mathrm{d}z}z\right)^{n}% \left(z^{b-a-1}e^{-z}U\left(a,b,z\right)\right)=(-1)^{n}z^{b-a+n-1}e^{-z}U% \left(a-n,b,z\right),}}
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    DLMF id
    DLMF:13.3.E26
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