DLMF:7.2.E10 (Q2332): Difference between revisions

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Revision as of 16:00, 30 December 2019

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DLMF:7.2.E10
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    Defining formula
    f ⁡ ( z ) = ( 1 2 - S ⁡ ( z ) ) ⁢ cos ⁡ ( 1 2 ⁢ π ⁢ z 2 ) - ( 1 2 - C ⁡ ( z ) ) ⁢ sin ⁡ ( 1 2 ⁢ π ⁢ z 2 ) , Fresnel-auxilliary-function-f 𝑧 1 2 Fresnel-sine-integral 𝑧 1 2 𝜋 superscript 𝑧 2 1 2 Fresnel-cosine-integral 𝑧 1 2 𝜋 superscript 𝑧 2 {\displaystyle{\displaystyle\mathrm{f}\left(z\right)=\left(\tfrac{1}{2}-S\left% (z\right)\right)\cos\left(\tfrac{1}{2}\pi z^{2}\right)-\left(\tfrac{1}{2}-C% \left(z\right)\right)\sin\left(\tfrac{1}{2}\pi z^{2}\right),}}
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    DLMF:7.2.E10
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