Formula:1783

Digital Library of Mathematical Functions ID 4.13.E10

${\displaystyle{\displaystyle\mathrm{Wp}\left(x\right)=\xi-\ln\xi+\frac{\ln\xi}{\xi}+\frac{(\ln\xi)^{2}}{2\xi^{2}}-\frac{\ln\xi}{\xi^{2}}+O\left(\frac{(\ln\xi)^{3}}{\xi^{3}}\right),}}$

Symbols List

• ${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$: order not exceeding
• ${\displaystyle{\displaystyle\mathrm{Wp}\left(\NVar{x}\right)}}$: principal branch of Lambert W -function
• ${\displaystyle{\displaystyle\ln\NVar{z}}}$: principal branch of logarithm function
• ${\displaystyle{\displaystyle x}}$: real variable
 

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