DLMF:7.10.E1 (Q2398): Difference between revisions

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n = 0 , 1 , 2 , 𝑛 0 1 2 {\displaystyle{\displaystyle n=0,1,2,\dots}}

n=0,1,2,\dots
Property / constraint: n = 0 , 1 , 2 , 𝑛 0 1 2 {\displaystyle{\displaystyle n=0,1,2,\dots}} / rank
 
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Revision as of 17:08, 30 December 2019

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DLMF:7.10.E1
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    d n + 1 erf z d z n + 1 = ( - 1 ) n 2 π H n ( z ) e - z 2 , derivative error-function 𝑧 𝑧 𝑛 1 superscript 1 𝑛 2 𝜋 Hermite-polynomial-H 𝑛 𝑧 superscript 𝑒 superscript 𝑧 2 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{n+1}\operatorname{erf}z}{{% \mathrm{d}z}^{n+1}}=(-1)^{n}\frac{2}{\sqrt{\pi}}H_{n}\left(z\right)e^{-z^{2}},}}
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    DLMF:7.10.E1
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    n = 0 , 1 , 2 , 𝑛 0 1 2 {\displaystyle{\displaystyle n=0,1,2,\dots}}
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