Formula:3052

Digital Library of Mathematical Functions ID 7.5.E8

${\displaystyle{\displaystyle C\left(z\right)\pm iS\left(z\right)=\tfrac{1}{2}(1\pm i)\operatorname{erf}\zeta.}}$

Symbols List

• ${\displaystyle{\displaystyle C\left(\NVar{z}\right)}}$: Fresnel integral
• ${\displaystyle{\displaystyle S\left(\NVar{z}\right)}}$: Fresnel integral
• ${\displaystyle{\displaystyle\operatorname{erf}\NVar{z}}}$: error function
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle\zeta}}$: change of variable (locally)
 

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