DLMF:4.13.E10 (Q1651): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11233 / rank
 
Normal rank
Property / Symbols used: Q11233 / qualifier
 
test:

Wp ( x ) Lambert-Wp 𝑥 {\displaystyle{\displaystyle\mathrm{Wp}\left(\NVar{x}\right)}}

\LambertWp@{\NVar{x}}
Property / Symbols used: Q11233 / qualifier
 
xml-id: C4.S13.p2.m8acdec

Revision as of 17:17, 1 January 2020

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DLMF:4.13.E10
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    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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    O ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}
    C2.S1.E3.m2adec
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    Wp ( x ) Lambert-Wp 𝑥 {\displaystyle{\displaystyle\mathrm{Wp}\left(\NVar{x}\right)}}
    C4.S13.p2.m8acdec
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