Formula:2964

Digital Library of Mathematical Functions ID 6.7.E13

${\displaystyle{\displaystyle\mathrm{f}\left(z\right)=\int_{0}^{\infty}\frac{\sin t}{t+z}\mathrm{d}t=\int_{0}^{\infty}\frac{e^{-zt}}{t^{2}+1}\mathrm{d}t,}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle\sin\NVar{z}}}$: sine function
• ${\displaystyle{\displaystyle\mathrm{f}\left(\NVar{z}\right)}}$: auxiliary function for sine and cosine integrals
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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