DLMF:7.6.E2 (Q2361)

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DLMF:7.6.E2
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    erf z = 2 π e - z 2 n = 0 2 n z 2 n + 1 1 3 ( 2 n + 1 ) , error-function 𝑧 2 𝜋 superscript 𝑒 superscript 𝑧 2 superscript subscript 𝑛 0 superscript 2 𝑛 superscript 𝑧 2 𝑛 1 1 3 2 𝑛 1 {\displaystyle{\displaystyle\operatorname{erf}z=\frac{2}{\sqrt{\pi}}e^{-z^{2}}% \sum_{n=0}^{\infty}\frac{2^{n}z^{2n+1}}{1\cdot 3\cdots(2n+1)},}}
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    DLMF:7.6.E2
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