DLMF:4.4.E11 (Q1545)

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DLMF:4.4.E11
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    e ± 3 π i / 4 = - 1 2 ± i 1 2 , superscript 𝑒 plus-or-minus 3 𝜋 imaginary-unit 4 plus-or-minus 1 2 imaginary-unit 1 2 {\displaystyle{\displaystyle e^{\pm 3\pi\mathrm{i}/4}=-\frac{1}{\sqrt{2}}\pm% \mathrm{i}\frac{1}{\sqrt{2}},}}
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