DLMF:7.18.E7 (Q2457): Difference between revisions

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Property / constraint
 

n = 1 , 2 , 3 , 𝑛 1 2 3 {\displaystyle{\displaystyle n=1,2,3,\dots}}

n=1,2,3,\dots
Property / constraint: n = 1 , 2 , 3 , 𝑛 1 2 3 {\displaystyle{\displaystyle n=1,2,3,\dots}} / rank
 
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Revision as of 16:09, 30 December 2019

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DLMF:7.18.E7
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    i n erfc ( z ) = - z n i n - 1 erfc ( z ) + 1 2 n i n - 2 erfc ( z ) , repeated-integral-complementary-error-function 𝑛 𝑧 𝑧 𝑛 repeated-integral-complementary-error-function 𝑛 1 𝑧 1 2 𝑛 repeated-integral-complementary-error-function 𝑛 2 𝑧 {\displaystyle{\displaystyle\mathop{\mathrm{i}^{n}\mathrm{erfc}}\left(z\right)% =-\frac{z}{n}\mathop{\mathrm{i}^{n-1}\mathrm{erfc}}\left(z\right)+\frac{1}{2n}% \mathop{\mathrm{i}^{n-2}\mathrm{erfc}}\left(z\right),}}
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    n = 1 , 2 , 3 , 𝑛 1 2 3 {\displaystyle{\displaystyle n=1,2,3,\dots}}
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