DLMF:12.8.E12 (Q4149)

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DLMF:12.8.E12
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    d m d z m ( e - 1 4 z 2 V ( a , z ) ) = ( - 1 ) m ( 1 2 - a ) m e - 1 4 z 2 V ( a - m , z ) . derivative 𝑧 𝑚 superscript 𝑒 1 4 superscript 𝑧 2 parabolic-V 𝑎 𝑧 superscript 1 𝑚 Pochhammer 1 2 𝑎 𝑚 superscript 𝑒 1 4 superscript 𝑧 2 parabolic-V 𝑎 𝑚 𝑧 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{m}}{{\mathrm{d}z}^{m}}\left(e^% {-\frac{1}{4}z^{2}}V\left(a,z\right)\right)=(-1)^{m}{\left(\tfrac{1}{2}-a% \right)_{m}}e^{-\frac{1}{4}z^{2}}V\left(a-m,z\right).}}
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