DLMF:7.5.E5 (Q2351)

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DLMF:7.5.E5
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    Defining formula
    e - 1 2 ⁢ π ⁢ i ⁢ z 2 ⁢ ℱ ⁡ ( z ) = g ⁡ ( z ) + i ⁢ f ⁡ ( z ) . superscript 𝑒 1 2 𝜋 𝑖 superscript 𝑧 2 Fresnel-integral 𝑧 Fresnel-auxilliary-function-g 𝑧 𝑖 Fresnel-auxilliary-function-f 𝑧 {\displaystyle{\displaystyle e^{-\frac{1}{2}\pi iz^{2}}\mathcal{F}\left(z% \right)=\mathrm{g}\left(z\right)+i\mathrm{f}\left(z\right).}}
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    DLMF id
    DLMF:7.5.E5
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