Formula:1272

Digital Library of Mathematical Functions ID 3.5.E45

${\displaystyle{\displaystyle\operatorname{erfc}\lambda=\frac{e^{-\lambda^{2}}}{2\pi}\int_{-\pi}^{\pi}e^{-\lambda^{2}{\tan^{2}}\left(\frac{1}{2}\theta\right)}\mathrm{d}\theta.}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\operatorname{erfc}\NVar{z}}}$: complementary error function
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle\tan\NVar{z}}}$: tangent function
• ${\displaystyle{\displaystyle\lambda}}$: parameter
 

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