DLMF:4.13.E11 (Q1652)

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DLMF:4.13.E11
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    Wm ( x ) = - η - ln η - ln η η - ( ln η ) 2 2 η 2 - ln η η 2 + O ( ( ln η ) 3 η 3 ) , Lambert-Wm 𝑥 𝜂 𝜂 𝜂 𝜂 superscript 𝜂 2 2 superscript 𝜂 2 𝜂 superscript 𝜂 2 Big-O superscript 𝜂 3 superscript 𝜂 3 {\displaystyle{\displaystyle\mathrm{Wm}\left(x\right)=-\eta-\ln\eta-\frac{\ln% \eta}{\eta}-\frac{(\ln\eta)^{2}}{2\eta^{2}}-\frac{\ln\eta}{\eta^{2}}+O\left(% \frac{(\ln\eta)^{3}}{\eta^{3}}\right),}}
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