Formula:3046

Digital Library of Mathematical Functions ID 7.5.E2

${\displaystyle{\displaystyle C\left(z\right)+iS\left(z\right)=\tfrac{1}{2}(1+i)-\mathcal{F}\left(z\right).}}$

Symbols List

• ${\displaystyle{\displaystyle C\left(\NVar{z}\right)}}$: Fresnel integral
• ${\displaystyle{\displaystyle\mathcal{F}\left(\NVar{z}\right)}}$: Fresnel integral
• ${\displaystyle{\displaystyle S\left(\NVar{z}\right)}}$: Fresnel integral
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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