DLMF:4.13.E6 (Q1647): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Lambert $$W$$ -function / rank
 
Normal rank
Property / Symbols used: Lambert $$W$$ -function / qualifier
 
test:

W ⁡ ( x ) Lambert-W 𝑥 {\displaystyle{\displaystyle W\left(\NVar{x}\right)}}

\LambertW@{\NVar{x}}
Property / Symbols used: Lambert $$W$$ -function / qualifier
 
xml-id: C4.S13.E1.m2addec

Revision as of 17:17, 1 January 2020

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DLMF:4.13.E6
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    Statements

    test
    W ⁡ ( - e - 1 - ( t 2 / 2 ) ) = ∑ n = 0 ∞ ( - 1 ) n - 1 ⁢ c n ⁢ t n , Lambert-W superscript 𝑒 1 superscript 𝑡 2 2 superscript subscript 𝑛 0 superscript 1 𝑛 1 subscript 𝑐 𝑛 superscript 𝑡 𝑛 {\displaystyle{\displaystyle W\left(-e^{-1-(t^{2}/2)}\right)=\sum_{n=0}^{% \infty}(-1)^{n-1}c_{n}t^{n},}}
    0 references
    DLMF id
    DLMF:4.13.E6
    0 references
    constraint
    | t | < 2 ⁢ π 𝑡 2 𝜋 {\displaystyle{\displaystyle|t|<2\sqrt{\pi}}}
    0 references
    Symbols used
    Lambert $$W$$ -function
    test
    W ⁡ ( x ) Lambert-W 𝑥 {\displaystyle{\displaystyle W\left(\NVar{x}\right)}}
    xml-id
    C4.S13.E1.m2addec
    0 references
     
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