Formula:2941

Digital Library of Mathematical Functions ID 6.5.E3

${\displaystyle{\displaystyle\tfrac{1}{2}(\mathrm{Ei}\left(x\right)+E_{1}\left(x\right))=\mathrm{Shi}\left(x\right)=-i\mathrm{Si}\left(ix\right),}}$

Symbols List

• ${\displaystyle{\displaystyle E_{1}\left(\NVar{z}\right)}}$: exponential integral
• ${\displaystyle{\displaystyle\mathrm{Ei}\left(\NVar{x}\right)}}$:
• ${\displaystyle{\displaystyle\mathrm{Shi}\left(\NVar{z}\right)}}$: hyperbolic sine integral
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle\mathrm{Si}\left(\NVar{z}\right)}}$: sine integral
• ${\displaystyle{\displaystyle x}}$: real variable
 

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