DLMF:6.2.E8

MaRDI QIDQ2916

• Label: DLMF:6.2.E8

Digital Library of Mathematical Functions ID 6.2.E8

${\displaystyle{\displaystyle\mathrm{li}\left(x\right)=\pvint_{0}^{x}\frac{\mathrm{d}t}{\ln t}=\mathrm{Ei}\left(\ln x\right),}}$

Constraint(s)

${\displaystyle{\displaystyle x>1}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\mathrm{Ei}\left(\NVar{x}\right)}}$:
• ${\displaystyle{\displaystyle\ln\NVar{z}}}$: principal branch of logarithm function
• ${\displaystyle{\displaystyle\pvint_{\NVar{a}}^{\NVar{b}}}}$: Cauchy principal value
• ${\displaystyle{\displaystyle x}}$: real variable
 

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