Formula:3164

Digital Library of Mathematical Functions ID 7.19.E2

${\displaystyle{\displaystyle\mathsf{V}\left(x,t\right)=\frac{1}{\sqrt{4\pi t}}\int_{-\infty}^{\infty}\frac{ye^{-(x-y)^{2}/(4t)}}{1+y^{2}}\mathrm{d}y.}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle x}}$: real variable
 

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