Formula:3175

Digital Library of Mathematical Functions ID 7.19.E10

${\displaystyle{\displaystyle\mathsf{U}\left(\frac{u}{a},\frac{1}{4a^{2}}\right)=a\int_{0}^{\infty}e^{-at-\frac{1}{4}t^{2}}\cos\left(ut\right)\mathrm{d}t,}}$

Symbols List

• ${\displaystyle{\displaystyle\mathsf{U}\left(\NVar{x},\NVar{t}\right)}}$: Voigt function
• ${\displaystyle{\displaystyle\cos\NVar{z}}}$: cosine function
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle\int}}$: integral
 

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