DLMF:13.3.E23 (Q4357)

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DLMF:13.3.E23
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    d n d z n U ( a , b , z ) = ( - 1 ) n ( a ) n U ( a + n , b + n , z ) , derivative 𝑧 𝑛 Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑧 superscript 1 𝑛 Pochhammer 𝑎 𝑛 Kummer-confluent-hypergeometric-U 𝑎 𝑛 𝑏 𝑛 𝑧 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{n}}{{\mathrm{d}z}^{n}}U\left(a% ,b,z\right)=(-1)^{n}{\left(a\right)_{n}}U\left(a+n,b+n,z\right),}}
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