Formula:3133

Digital Library of Mathematical Functions ID 7.14.E3

${\displaystyle{\displaystyle\int_{0}^{\infty}e^{-at}\operatorname{erf}\sqrt{bt}\mathrm{d}t=\frac{1}{a}\sqrt{\frac{b}{a+b}},}}$

Constraint(s)

${\displaystyle{\displaystyle\Re a>0}}$
${\displaystyle{\displaystyle\Re b>0}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\operatorname{erf}\NVar{z}}}$: error function
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle\Re}}$: real part
 

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