Formula:2960

Digital Library of Mathematical Functions ID 6.7.E9

${\displaystyle{\displaystyle\mathrm{si}\left(z\right)=-\int_{0}^{\pi/2}e^{-z\cos t}\cos\left(z\sin t\right)\mathrm{d}t,}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\cos\NVar{z}}}$: cosine function
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle\mathrm{si}\left(\NVar{z}\right)}}$: sine integral
• ${\displaystyle{\displaystyle\sin\NVar{z}}}$: sine function
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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