Formula:3055

Digital Library of Mathematical Functions ID 7.5.E11

${\displaystyle{\displaystyle|\mathcal{F}\left(x\right)|^{2}={\mathrm{f}^{2}}\left(x\right)+{\mathrm{g}^{2}}\left(x\right),}}$

Constraint(s)

${\displaystyle{\displaystyle x\geq 0}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{f}\left(\NVar{z}\right)}}$: auxiliary function for Fresnel integrals
• ${\displaystyle{\displaystyle\mathrm{g}\left(\NVar{z}\right)}}$: auxiliary function for Fresnel integrals
• ${\displaystyle{\displaystyle\mathcal{F}\left(\NVar{z}\right)}}$: Fresnel integral
• ${\displaystyle{\displaystyle x}}$: real variable
 

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