Formula:1269

Digital Library of Mathematical Functions ID 3.5.E42

${\displaystyle{\displaystyle\operatorname{erfc}\lambda=\frac{1}{2\pi\mathrm{i}}\int_{c-\mathrm{i}\infty}^{c+\mathrm{i}\infty}e^{\zeta-2\lambda\sqrt{\zeta}}\frac{\mathrm{d}\zeta}{\zeta},}}$

Constraint(s)

${\displaystyle{\displaystyle c>0}}$

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
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle\lambda}}$: parameter
 

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