DLMF:4.13.E10 (Q1651)

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DLMF:4.13.E10
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    Statements

    Defining formula
    Wp ⁡ ( x ) = ξ - ln ⁡ ξ + ln ⁡ ξ ξ + ( ln ⁡ ξ ) 2 2 ⁢ ξ 2 - ln ⁡ ξ ξ 2 + O ⁡ ( ( ln ⁡ ξ ) 3 ξ 3 ) , Lambert-Wp 𝑥 𝜉 𝜉 𝜉 𝜉 superscript 𝜉 2 2 superscript 𝜉 2 𝜉 superscript 𝜉 2 Big-O superscript 𝜉 3 superscript 𝜉 3 {\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),}}
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    DLMF id
    DLMF:4.13.E10
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