DLMF:13.3.E27 (Q4361)

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DLMF:13.3.E27
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    d n d z n ( e - z U ( a , b , z ) ) = ( - 1 ) n e - z U ( a , b + n , z ) , derivative 𝑧 𝑛 superscript 𝑒 𝑧 Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑧 superscript 1 𝑛 superscript 𝑒 𝑧 Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑛 𝑧 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{n}}{{\mathrm{d}z}^{n}}\left(e^% {-z}U\left(a,b,z\right)\right)=(-1)^{n}e^{-z}U\left(a,b+n,z\right),}}
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